G. Lusztig

发表

Representations of Coxeter groups and Hecke algebras

D. Kazhdan, G. Lusztig, 1979 .

A topological approach to Springer's representations

D. Kazhdan, G. Lusztig, 1980 .

Strata of a disconnected reductive group

G. Lusztig, 2020, 2006.07336.

On induction of class functions

G. Lusztig, 2020, 2003.02715.

Reducing mod 𝑝 complex representations of finite reductive groups

G. Lusztig, 2018, Representation Theory of the American Mathematical Society.

Quiver varieties and Weyl group actions

G. Lusztig, 2000 .

Proof of the Deligne-Langlands for Hecke algebras

D. Kazhdan, G. Lusztig, 1987 .

Proof of the Deligne-Langlands conjecture for Hecke algebras

D. Kazhdan, G. Lusztig, 1987 .

The algebra ℋ

G. Lusztig, 2003 .

Semicanonical Bases Arising From Enveloping Algebras

G. Lusztig, 2000 .

Memories of Sir Michael Atiyah

S. Donaldson, N. Hitchin, E. Witten, 2019 .

Duality for representations of a reductive group over a finite field

P. Deligné, G. Lusztig, 1982 .

Subregular Nilpotent Elements and Bases in $K$ -Theory

G. Lusztig, 1999, Canadian Journal of Mathematics.

Character sheaves on disconnected groups, X

G. Lusztig, 2003, math/0601504.

Homology of the zero-set of a nilpotent vector field on a flag manifold

C. Procesi, G. Lusztig, C. Concini, 1988 .

𝐙/𝐦-graded Lie algebras and perverse sheaves, IV

G. Lusztig, Zhiwei Yun, 2020, Representation Theory of the American Mathematical Society.

Z/m-graded Lie algebras and perverse sheaves, I

G. Lusztig, Zhiwei Yun, 2016, 1805.10550.

Z/m-graded Lie algebras and perverse sheaves, I

G. Lusztig, Zhiwei Yun, 2016, 1805.10550.

Affine Hecke algebras and their graded version

George Lusztig, G. Lusztig, 1989 .

Comments on my papers

G. Lusztig, 2017, 1707.09368.

Notes on affine Hecke algebras

G. Lusztig, 2002 .

Classification of unipotent representations of simple p-adic groups,II

G. Lusztig, 2001, math/0111248.

Bases in equivariant -theory. II

G. Lusztig, 1998 .

Classification of unipotent representations of simple p -adic groups

G. Lusztig, 1995 .

Rationality properties of unipotent representations

G. Lusztig, 2001, math/0103232.

Endocytosis of oxidized LDL and reversibility of migration inhibition in macrophage-derived foam cells in vitro. A mechanism for atherosclerosis regression?

H. Robenek, G. Lusztig, M. Pataki, 1992, Arteriosclerosis and thrombosis : a journal of vascular biology.

Comparative investigation of some mineral elements in the aortic wall and the calcium concentration in hair.

G. Lusztig, J. Bacsó, I. Uzonyi, 1986, Experimental pathology.

Homomorphisms of the alternating group A5 into reductive groups

G. Lusztig, 2003 .

Dedicated to Jacques Tits on his sixtieth birthday

G. Lusztig, 1990 .

Alteration of chromatin in early experimental arteriosclerosis.

T. Steinbach, G. Lusztig, R. Dénes, 1980, Artery.

Study of antiorbital complexes

G. Lusztig, 2009, 0910.4147.

Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups

G. Lusztig, Dipendra Prasad, Shrawan Kumar, 2007, math/0701615.

Duality for Representations of a Reductive Group over a Finite Field, Ii

P. Deligné, G. Lusztig, 2022 .

Exceptional representations of Weyl groups

G. Lusztig, 2014, 1405.6686.

On the unipotent characters of the exceptional groups over finite fields

G. Lusztig, 1980 .

Some numerical results on the characters of exceptional Weyl groups

W. M. Beynon, G. Lusztig, 1978, Mathematical Proceedings of the Cambridge Philosophical Society.

Quantum groups at roots of 1

G. Lusztig, 1990 .

Modular representations and quantum groups

G. Lusztig, 1989 .

Hecke Algebras With Unequal Parameters

G. Lusztig, 2002, math/0208154.

The characters of the finite unitary groups

G. Lusztig, B. Srinivasan, 1977 .

Irreducible representations of finite classical groups

G. Lusztig, 1977 .

Representations of reductive groups over finite fields

G. Lusztig, P. Deligné, G. Lusztig, 2004 .

Coxeter orbits and eigenspaces of Frobenius

G. Lusztig, 1976 .

Total Positivity in Reductive Groups

G. Lusztig, 2019 .

Quantum deformations of certain simple modules over enveloping algebras

G. Lusztig, 1988 .

The effect of hypoxia and hypokinesia on prostacyclin (PGI2) production of vessel wall.

E. Tóth, G. Lusztig, M. Pataki, 1987, Experimental pathology.

Tensor structures arising from affine Lie algebras. III

D. Kazhdan, G. Lusztig, D. Kazhdan, 1993 .

Study of a Z-form of the coordinate ring of a reductive group

G. Lusztig, 2007, 0709.1286.

On quantum groups

G. Lusztig, 1990 .

Green polynomials and singularities of unipotent classes

G. Lusztig, 1981 .

Hecke algebras and Jantzen's generic decomposition patterns

G. Lusztig, 1980 .

Affine Lie algebras and quantum groups

D. Kazhdan, G. Lusztig, 1991 .

Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra

G. Lusztig, 1990 .

On Quiver Varieties

G. Lusztig, 1998 .

Quivers, perverse sheaves, and quantized enveloping algebras

G. Lusztig, 1991 .

Canonical bases arising from quantized enveloping algebras

George Lusztig, G. Lusztig, 1990 .

Introduction to Quantum Groups

George Lusztig, G. Lusztig, 1993 .

On the modular representations of the general linear and symmetric groups

R. Carter, G. Lusztig, 1974 .

Quantum groups at v

G. Lusztig, 1995 .

Cells in affine Weyl groups, II

G. Lusztig, 1987 .

Cells in affine Weyl groups, III

G. Lusztig, 1987 .

Cells in Affine Weyl Groups

G. Lusztig, 1985 .

Affine quivers and canonical bases

G. Lusztig, 1992 .

Remarks on quiver varieties

G. Lusztig, 2000 .

A geometric setting for the quantum deformation of $GL_n$

R. Macpherson, G. Lusztig, A. Beilinson, 1990 .

Canonical bases and Hall algebras

G. Lusztig, 1998 .

Some examples of square integrable representations of semisimple p-adic groups

George Lusztig, G. Lusztig, 1983 .

Equivariant $K$-theory and representations of Hecke algebras

G. Lusztig, 1985 .

Aperiodicity in quantum affine $\mathfrak{gl}_n$

G. Lusztig, 1999 .

Characters of reductive groups over a finite field

George Lusztig, G. Lusztig, 1984 .

An Algebraic-Geometric Parametrization of the Canonical Basis

G. Lusztig, 1996 .

Canonical bases in tensor products.

G. Lusztig, G Lusztig, 1992, Proceedings of the National Academy of Sciences of the United States of America.

Twelve bridges from a reductive group to its Langlands dual

G. Lusztig, 2007, 0708.3430.

Cells in Affine Weyl Groups and Tensor Categories

G. Lusztig, 1997 .

Monodromic systems on affine flag manifolds

G. Lusztig, 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

TOPOLOGICAL CONTENT OF THE MAXWELL THEOREM ON MULTIPOLE REPRESENTATION OF SPHERICAL FUNCTIONS

G. Lusztig, 1996 .

Unipotent elements in small characteristic, IV

G. Lusztig, 2009, 0909.2441.

Unipotent elements in small characteristic, IV

G. Lusztig, 2009 .

Unipotent classes and special Weyl group representations

G. Lusztig, G. Lusztig, 2007, 0711.4287.

Unipotent Elements in Small Characteristic, II

G. Lusztig, 2005, math/0612320.

Unipotent elements in small characteristic

G. Lusztig, 2005, math/0503739.

Induced Unipotent Classes

G. Lusztig, N. Spaltenstein, 1979 .

A class of irreducible representations of a Weyl group

G. Lusztig, 1979 .

Notes on unipotent classes

G. Lusztig, 1997 .

Classification of unipotent representations of simple p -adic groups

G. Lusztig, 2001, math/0111248.

Cuspidal local systems and graded Hecke algebras, III

G. Lusztig, 2001, math/0108173.

A Survey of Total Positivity

G. Lusztig, 2007, 0705.3842.

On Springer's correspondence for simple groups of type En (n = 6, 7, 8)

G. Lusztig, D. Alvis, 1982, Mathematical Proceedings of the Cambridge Philosophical Society.

Intersection cohomology methods in representation theory

G. Lusztig, 1990 .

Quasi-hereditary algebras with a duality.

G. Lusztig, Changchang Xi, D. Alvis, 1994 .

Canonical Bases Arising from Quantized Enveloping Algebras. II

G. Lusztig, 2013 .

On the discrete representations of the general linear groups over a finite field

G. Lusztig, 1973 .

Affine weyl groups and conjugacy classes in Weyl groups

G. Lusztig, 1996 .

Fixed point varieties on affine flag manifolds

D. Kazhdan, G. Lusztig, 1988 .

From conjugacy classes in the Weyl group to unipotent classes, II

G. Lusztig, 2010, 1104.3112.

On the Green Polynomials of Classical Groups

G. Lusztig, 1976 .

Character sheaves, V

George Lusztig, G. Lusztig, 1985 .

Intersection cohomology complexes on a reductive group

G. Lusztig, 1984 .

Green functions and character sheaves

G. Lusztig, 1990 .

On the finiteness of the number of unipotent classes

G. Lusztig, 1976 .

ENDOSCOPY FOR HECKE CATEGORIES, CHARACTER SHEAVES AND REPRESENTATIONS

G. Lusztig, Zhiwei Yun, 2019, Forum of Mathematics, Pi.

Fourier transforms on a semisimple Lie algebra over Fq

G. Lusztig, 1987 .

BASES IN EQUIVARIANT K-THEORY. II

G. Lusztig, 1999 .

EquivariantK-theory and representations of Hecke algebras. II

D. Kazhdan, G. Lusztig, 1985 .

Total positivity in partial flag manifolds

G. Lusztig, 1998 .

UNIPOTENT ALMOST CHARACTERS OF SIMPLE p-ADIC GROUPS, II

G. Lusztig, 2012, 1303.5026.

Schubert varieties and Poincar'e duality

David Kazhdan, George Lusztig, D. Kazhdan, 1980 .

Some problems in the representation theory of nite Cheval-ley groups

G. Lusztig, 1979 .

CLASSES UNIPOTENTES ET SOUS-GROUPS DE BOREL (Lecture Notes in Mathematics, 946)

G. Lusztig, 1983 .

From families in Weyl groups to Springer representations

G. Lusztig, 2020, Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES.

Remarks on Springer's representations

G. Lusztig, 2008, 0811.0370.

Families and Springer’s correspondence

G. Lusztig, 2012, 1201.5593.

Constructible Functions on the Steinberg Variety

G. Lusztig, 1997 .

Braid Group Action and Canonical Bases

G. Lusztig, 1996 .

SEMI-CHARACTERISTICS AND COBORDISM

G. Lusztig, J. Milnor, F. P. Peterson, 1969 .

On the representations of reductive groups with disconnected cen-tre

George Lusztig, G. Lusztig, 1988 .

Constructible Functions on Varieties Attached to Quivers

G. Lusztig, 2003 .

Singularities of closures ofK-orbits on flag manifolds

George Lusztig, G. Lusztig, D. Vogan, 1983 .

Representations Of Finite Chevalley Groups

G. Lusztig, 1978 .

Exotic Fourier transform

G. Lusztig, 1994 .

ℤ/𝕞ℤ-graded Lie algebras and perverse sheaves, III: Graded double affine Hecke algebra

G. Lusztig, Zhiwei Yun, 2016, Representation Theory of the American Mathematical Society.

Study of Perverse Sheaves Arising from Graded Lie Algebras

G. Lusztig, 1995 .

Endoscopy for Hecke categories and character sheaves

G. Lusztig, Zhiwei Yun, 2019 .

TRUNCATED CONVOLUTION OF CHARACTER

G. Lusztig, 2014 .

Truncated convolution of character sheaves

G. Lusztig, 2013, 1308.1082.

[Effect of chemical thyroidectomy, thyroid extract therapy and of the thyreotropic hormone on the content of mucopolysaccharides in the blood of rabbits].

L. Józsa, G. Lusztig, M. Perneczky, 1965, Endokrinologie.

The Two-Sided Cells of the Affine Weyl Group of Type Ãn

G. Lusztig, 1985 .

On the totally positive grassmannian

G. Lusztig, 2019, 1905.09254.

[The problem of the anti-atherogenic effect and mechanism of action of dextran].

L. Sajtos, G. Lusztig, L. Jósza, 1962, Zeitschrift fur die gesamte innere Medizin und ihre Grenzgebiete.

[The effect of dextran in the light of hemochemical research].

L. Sajtos, L. Józsa, G. Lusztig, 1961, Zeitschrift fur die gesamte innere Medizin und ihre Grenzgebiete.

On a theorem of Benson and Curtis

George Lusztig, G. Lusztig, 1981 .

Graded Lie Algebras and Intersection Cohomology

G. Lusztig, 2006, math/0604535.

On the Generalized Springer Correspondence for Classical Groups

G. Lusztig, N. Spaltenstein, 1985 .

Remarks on computing irreducible characters

George Lusztig, G. Lusztig, 1992 .

On the character values of finite Chevalley groups at unipotent elements

G. Lusztig, 1986 .

Unipotent character sheaves and strata of a reductive group

G. Lusztig, 2022, 2210.14422.

On conjugacy classes in a reductive group

G. Lusztig, 2013, 1305.7168.

Publications of George Lusztig

G. Lusztig, 2006, Nagoya Mathematical Journal.

On the Steinberg character of a semisimple p-adic group

G. Lusztig, Ju-lee Kim, 2012, 1204.4712.

Errata for “Character sheaves on disconnected groups, I"

G. Lusztig, 2004 .

On Some Partitions of a Flag Manifold

G. Lusztig, 2009, 0906.1505.

(_{})-invariants in irreducible (_{²})-modules

G. Lusztig, 2000 .

Restriction of a character sheaf to conjugacy classes

G. Lusztig, 2012, 1204.3521.

On the cleanness of cuspidal character sheaves

G. Lusztig, 2011, 1101.0752.

UNIPOTENT CHARACTERS OF THE EVEN ORTHOGONAL GROUPS OVER A FINITE FIELD

G. Lusztig, 1982 .

Representation Theory of Lie Groups: On the reflection representation of a finite Chevalley group

G. Lusztig, 1980 .

Unipotent characters of the symplectic and odd orthogonal groups over a finite field

G. Lusztig, 1981 .

On the characters of unipotent representations of a semisimple p-adic group

G. Lusztig, Ju-lee Kim, 2012, 1208.0320.

14. Concluding Remarks

G. Lusztig, 1984, Absorbing Perfections.

Parabolic character sheaves, II

G. Lusztig, 2003, math/0302317.

A class of perverse sheaves on a partial flag manifold

G. Lusztig, 2006, math/0610406.

Nonsplit Hecke algebras and perverse sheaves

G. Lusztig, 2016, Selecta Mathematica.

Nonsplit Hecke algebras and perverse sheaves

G. Lusztig, 2015, 1501.07588.

Parabolic character sheaves, III

G. Lusztig, 2009, 0911.4318.

Singular Supports for Character Sheaves on a Group Compactification

G. Lusztig, Xuhua He, 2005, math/0511050.

Notes on character sheaves

G. Lusztig, 2008, 0805.0787.

Character Sheaves and Generalizations

G. Lusztig, 2003, math/0309134.

Canonical left cells in affine Weyl groups

G. Lusztig, N. Xi, 1988 .

Generic character sheaves on groups over $\kk[\e]/(\e^r)$

G. Lusztig, 2015, 1508.05015.

Representations of reductive groups over finite rings

G. Lusztig, 2002, math/0208037.

Open problems on Iwahori-Hecke algebras

G. Lusztig, 2020, 2006.08535.

A generalization of Steinberg’s cross section

G. Lusztig, Xuhua He, 2011, 1103.1769.

Positive conjugacy classes in Weyl groups

G. Lusztig, 2018, 1805.03772.

Cuspidal local systems and graded Hecke algebras,II, Representations of groups

G. Lusztig, 1995 .

Cuspidal local systems and graded Hecke algebras, I

G. Lusztig, 1988 .

Traces on Iwahori-Hecke algebras and counting rational points

G. Lusztig, G. Lusztig, 2021, 2105.04061.

On certain varieties attached to a Weyl group element

G. Lusztig, 2010, 1012.2074.

Elliptic elements in a Weyl group: a homogeneity property

G. Lusztig, 2010, 1007.5040.

On manifolds satisfying w21=0

G. Lusztig, J. Dupont, 1971 .

APERIODICITY IN QUANTUM AFFINE g^t

G. Lusztig, 2016 .

Iwahori-Hecke Algebras and their Representation Theory

R. Howe, G. Lusztig, Y. Markov, 2002 .

The canonical basis of the quantum adjoint representation

G. Lusztig, 2016, 1602.07276.

Lifting involutions in a Weyl group to the torus normalizer

G. Lusztig, 2017, 1709.08589.

ACTION OF LONGEST ELEMENT ON A HECKE ALGEBRA CELL MODULE

G. Lusztig, 2014, 1406.0452.

The inverse of a Cartan matrix

G. Lusztig, J. Tits, 1992 .

A bar operator for involutions in a Coxeter group

G. Lusztig, 2011, 1112.0969.

Hecke algebras and involutions in Weyl groups

G. Lusztig, D. Vogan, 2011, 1109.4606.

On C-small conjugacy classes in a reductive group

G. Lusztig, 2010, 1005.4313.

On the generalized Springer correspondence

G. Lusztig, 2016, Representations of Reductive Groups.

On the definition of almost characters

G. Lusztig, 2015, 1512.07318.

UNIPOTENT REPRESENTATIONS OF A FINITE CHEVALLEY GROUP OF TYPE E8

G. Lusztig, 1979 .

Irreducible representations of finite spin groups

G. Lusztig, 2007, math/0702619.

Representation Theory in Characteristic $p$

G. Lusztig, 2001 .

Introduction to Quantized Enveloping Algebras

G. Lusztig, 1992 .

The discrete series of GLn over a finite field

George Lusztig, G. Lusztig, 1974 .

Hecke modules based on involutions in extended Weyl groups

G. Lusztig, 2017, Representation Theory of the American Mathematical Society.

Introduction to total positivity

J. Hilgert, J. Lawson, G. Lusztig, 1998 .

Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra

G. Lusztig, 1990 .

ON THE DEGREES OF CERTAIN GROUP CHARACTERS

J. Green, G. Lehrer, G. Lusztig, 1976 .

Homology Bases Arising from Reductive Groups Over a Finite Field

G. Lusztig, 1998 .

Left cells in weyl groups

G. Lusztig, 1983 .

The representations and generic degrees of the Hecke algeba of type H4.

G. Lusztig, D. Alvis, 1982 .

A study of intersections of Schubert varieties

M. Dyer, G. Lusztig, 2023, 2307.04646.

Coordinate rings and birational charts

Sergey Fomin, George Lusztig, S. Fomin, 2021, Representation Theory of the American Mathematical Society.

Lifting involutions in a Weyl group to the torus normalizer

G. Lusztig, 2017, 1709.08589.

Conjugacy Classes in Reductive Groups and Two-sided Cells

G. Lusztig, 2017, Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES.

Some Groups of Type E7

G. Lusztig, 2006, Nagoya Mathematical Journal.

Fermionic form and Betti numbers

G. Lusztig, 2000, math/0005010.

Representations of reductive groups over finite fields

G. Lusztig, Pierre Deligne, 1976 .

Rigid strata in a reductive group

G. Lusztig, 2023, 2304.05562.

Unipotent character sheaves and strata of a reductive group

G. Lusztig, 2022, Representation Theory of the American Mathematical Society.

Non-unipotent character sheaves as a categorical centre

G. Lusztig, 2015, 1506.04598.

From unipotent classes to conjugacy classes in the Weyl group

G. Lusztig, 2010, 1008.2692.

UNIPOTENT CHARACfERS OF THE EVEN ORTHOGONAL GROUPS OVER A FINITE FIELD

G. Lusztig, George LUSZTId, 2009 .

Character Sheaves on Disconnected Groups, X Accessed Terms of Use Detailed Terms Character Sheaves on Disconnected Groups, X

G. Lusztig, 2022 .

Springer’s work on unipotent classes and Weyl group representations

G. Lusztig, 2020, 2007.11996.

Unipotent blocks and weighted affine Weyl groups

G. Lusztig, 2020, 2010.02095.

On the character of certain irreducible modular representations

G. Lusztig, 2015 .

On the character of certain modular irreducible representations

G. Lusztig, 2014, 1407.5346.

Precuspidal families and indexing of Weyl group representations

G. Lusztig, 2023, 2304.05130.

A parametrization of unipotent representations

G. Lusztig, 2021, Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES.

Adjacency for special representations of a Weyl group

G. Lusztig, G. Lusztig, 2021, Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES.

A new basis for the representation ring of a Weyl group

G. Lusztig, 2018, Representation Theory of the American Mathematical Society.

Sub-constructible representations of Weyl groups

G. Lusztig, 2018 .

Special representations of Weyl groups: a positivity property

G. Lusztig, 2016, 1602.02106.

Appendix: Coxeter groups and unipotent representations

G. Lusztig, 2019 .

Representations of reductive groups over finite fields

G. Lusztig, Pierre Deligne, 2004 .

Billiards and Tilting Characters for ${\rm SL}_3$

G. Williamson, G. Lusztig, 2017, 1703.05898.

Non-unipotent representations and categorical centres

G. Lusztig, 2016, 1611.08296.

Asymptotic Hecke algebras and involutions

G. Lusztig, 2012, 1204.0276.

Representations of affine Hecke algebras

G. Lusztig, 2019 .

Duality for representations of a reductive group over a finite field

G. Lusztig, Pierre Deligne, 1982 .

Divisibility of Projective Modules of Finite Chevalley Groups by the Steinberg Module

G. Lusztig, 1976 .

Two partitions of a flag manifold

G. Lusztig, G. Lusztig, 2021, 2103.01174.

Distinguished strata in a reductive group

G. Lusztig, G. Lusztig, 2021, Representation Theory of the American Mathematical Society.

Generalized Springer theory and weight functions

G. Lusztig, 2016, ANNALI DELL'UNIVERSITA' DI FERRARA.

Generalized Springer theory and weight functions

G. Lusztig, 2015, 1510.02174.

UNIPOTENT ALMOST CHARACTERS OF SIMPLE p-ADIC GROUPS, II

G. Lusztig, 2014, Transformation Groups.

Unipotent representations as a categorical centre

G. Lusztig, 2014, 1401.2889.

AS A CATEGORICAL CENTRE

G. Lusztig, 2015 .

An induction theorem for Springer's representations

G. Lusztig, 2004 .

Modular representations of finite groups of Lie type

R. Carter, G. Lusztig, 1976 .