N. Wallach

发表

Representations and Invariants of the Classical Groups

R. Goodman, N. Wallach, 1998 .

Transformations among Pure Multipartite Entangled States via Local Operations are Almost Never Possible

B. Kraus, N. Wallach, D. Sauerwein, 2017, Physical Review X.

Symmetry, Representations, and Invariants

R. Goodman, N. Wallach, 2009 .

Classification of multipartite entanglement of all finite dimensionality.

N. Wallach, G. Gour, 2013, Physical review letters.

Global entanglement in multiparticle systems

D. Meyer, N. Wallach, 2001, quant-ph/0108104.

An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures

N. Wallach, Simon Aloff, 1975 .

Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and octonions

N. Wallach, Man-Wai Cheung, 2012, 1206.2596.

REVISITING HOMOGENEOUS SPACES WITH POSITIVE CURVATURE

M. Berger, N. Wallach, 2015 .

NICE PARABOLIC SUBALGEBRAS OF REDUCTIVE LIE ALGEBRAS

Karin Baur, Nolan Wallach, N. Wallach, 2004 .

A combinatorial problem associated with nonograms

Rion Snow, Nolan R. Wallach, R. Snow, 2006 .

Necessary and sufficient conditions for local manipulation of multipartite pure quantum states

N. Wallach, G. Gour, 2011, 1103.5096.

All maximally entangled four-qubit states

N. Wallach, G. Gour, 2010, 1006.0036.

Real reductive groups

N. Wallach, 1988 .

Automorphic forms constructed from Whittaker vectors

N. Wallach, R. Miatello, 1989 .

MINIMAL IMMERSIONS OF SYMMETRIC SPACES INTO SPHERES

N. Wallach, 2014 .

Bessel models for general admissible induced representations: the compact stabilizer case

N. Wallach, Raul Gomez, 2010, 1011.6621.

Combinatorial aspects of the Baker-Akhiezer functions for S2

Adriano M. Garsia, Nolan Wallach, N. Wallach, 2004, Eur. J. Comb..

r-Qsym is free over Sym

Adriano M. Garsia, Nolan Wallach, N. Wallach, 2007, Journal of combinatorial theory. Series A.

On the irreducibility and inequivalence of unitary representations of gauge groups

N. Wallach, 1987 .

The resolvent of the Laplacian on locally symmetric spaces

N. Wallach, R. Miatello, 1992 .

Minimal immersions of spheres into spheres.

N. Wallach, M. do Carmo, M. D. do Carmo, 1969, Proceedings of the National Academy of Sciences of the United States of America.

Dependence on parameters of CW globalizations of families of Harish-Chandra modules and the meromorphic continuation of $C^{\infty}$ Eisenstein series.

N. Wallach, 2019, 1902.01871.

PFAFFIANS AND STRATEGIES FOR INTEGER CHOICE GAMES

R. Evans, N. Wallach, 2007 .

Local distinguishability of generic unentangled orthonormal bases

N. Wallach, Asif Shakeel, Jiří Lebl, 2015, 1502.06639.

Characters of irreducible representations of the virasoro algebra

N. Wallach, A. Rocha-Caridi, 1984 .

Properties and examples of FCR-algebras

N. Wallach, H. Kraft, L. Small, 2001 .

Hereditary properties of direct summands of algebras

N. Wallach, H. Kraft, L. Small, 1999 .

Kuznetsov formulas for real rank one groups

N. Wallach, R. Miatello, 1990 .

Characters of irreducible representations of the Lie algebra of vector fields on the circle

N. Wallach, A. Rocha-Caridi, 1983 .

Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.

R. Goodman, N. Wallach, 1984 .

Classical and quantum mechanical systems of Toda-lattice type

R. Goodman, N. Wallach, 1984 .

Classical and quantum-mechanical systems of Toda lattice type. I

R. Goodman, N. Wallach, 1982 .

Intertwining operators for real reductive groups

N. Wallach, D. Vogan, 1990 .

The analytic continuation of the discrete series. II

N. Wallach, 1979 .

Fréchet completions of moderate growth old and (somewhat) new results

N. Wallach, 2014, 1403.3658.

A Pieri rule for Hermitian symmetric pairs II

N. Wallach, T. Enright, 2004 .

Generalized Whittaker vectors for holomorphic and quaternionic representations

N. Wallach, 2003 .

A Classification of Unitary Highest Weight Modules

N. Wallach, R. Howe, T. Enright, 1983 .

Szegö kernels associated with discrete series

A. W. Knapp, N. Wallach, 1976 .

On the unitarizability of representations with highest weights

N. Wallach, 1975 .

Projective unitary positive-energy representations of Diff (S1)

R. Goodman, N. Wallach, 1985 .

Higher-order Sugawara operators for affine Lie algebras

R. Goodman, N. Wallach, 1989 .

Whittaker vectors and conical vectors

R. Goodman, N. Wallach, 1980 .

Highest weight modules over graded Lie algebras: resolutions, filtrations and character formulas

N. Wallach, A. Rocha-Caridi, 1983 .

On the nullcone of representations of reductive groups

N. Wallach, H. Kraft, 2006 .

Unentangled measurements and frame functions

N. Wallach, Asif Shakeel, Jiří Lebl, 2017, Journal of Mathematical Physics.

Almost all multipartite qubit quantum states have trivial stabilizer

Gilad Gour, Nolan R. Wallach, Barbara Kraus, 2016, 1609.01327.

Compact Homogeneous Riemannian Manifolds with Strictly Positive Curvature

N. Wallach, 1972 .

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

A. Borel, N. Wallach, 1999 .

Projective modules over graded Lie algebras. I

N. Wallach, A. Rocha-Caridi, 1982 .

Real Reductive Groups II

N. Wallach, 1988 .

Invariant differential operators on a reductive Lie algebra and Weyl group representations

N. Wallach, 1993 .

On the Selberg trace formula in the case of compact quotient

N. Wallach, 1976 .

Geometric Invariant Theory: Over the Real and Complex Numbers

Nolan R. Wallach, N. Wallach, 2017 .

The restriction of admissible modules to parabolic subalgebras

J. T. Stafford, N. Wallach, 1982 .

The spherical Whittaker Inversion Theorem and the quantum non-periodic Toda Lattice

N. Wallach, 2023, 2303.11256.

On a question related to a basic convergence theorem of Harish-Chandra

N. Wallach, 2022, 2206.14773.

Asymptotic expansions of generalized matrix entries of representations of real reductive groups

N. Wallach, 1983 .

On the Hilbert polynomials and Hilbert series of homogeneous projective varieties

Benedict H. Gross, Nolan R. Wallach, B. Gross, 2007 .

Holomorphic continuation of generalized Jacquet integrals for degenerate principal series

N. Wallach, 2006 .

NICE PARABOLIC SUBALGEBRAS OF REDUCTIVE LIE ALGEBRAS

N. Wallach, K. Baur, 2004, math/0409295.

A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4

B. Gross, N. Wallach, 1994 .

Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation

B. Kostant, N. Wallach, 2011, 1109.5745.

The restriction of Whittaker modules to certain parabolic subalgebras

N. Wallach, 1981 .

Composition series and intertwining operators for the spherical principal series

N. Wallach, Kenneth W. Johnson, 1972 .

Globally hypoelliptic vector fields

N. Wallach, Stephen J. Greenfield, 1973 .

On the unitarizability of derived functor modules

N. Wallach, 1984 .

A class of non-standard modules for affine Lie algebras

N. Wallach, 1987 .

On quaternionic discrete series representations, and their continuations.

B. Gross, N. Wallach, 1996 .

On Neeman's gradient flows

N. Wallach, 2016, 1605.00160.

Bessel models for general admissible induced representations: the compact stabilizer case

N. Wallach, Raul Gomez, 2011, Selecta Mathematica.

AUTOMORPHISM GROUPS OF BOUNDED DOMAINS

N. Wallach, Stephen J. Greenfield, IN Banach Spaceso, 2010 .

On a classification of the gradient shrinking solitons

N. Wallach, Lei Ni, 2007, 0710.3194.

Lie Algebra Cohomology and Holomorphic Continuation of Generalized Jacquet Integrals

N. Wallach, 1988 .

Kronecker coefficients via Symmetric Functions and Constant Term Identities

Mike Zabrocki, Adriano M. Garsia, Nolan Wallach, 2012, Int. J. Algebra Comput..

Classical and quantum mechanical systems of Toda-lattice type

R. Goodman, N. Wallach, 1986 .

Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle

R. Goodman, N. Wallach, 1984 .

Finite- and infinite-dimensional representation of linear semisimple groups

N. Wallach, J. Lepowsky, 1973 .

Cyclic vectors and irreducibility for principal series representations. II

N. Wallach, 1971 .

Limit Formulas for Multiplicities in L 2 (Γ\G)

N. Wallach, David L. Degeorge, 1978 .

Symplectic geometry and Fourier analysis

R. Hermann, N. Wallach, 1977 .

ON HARISH-CHANDRA'S GENERALIZED C-FUNCTIONS.

N. Wallach, 1975 .

An asymptotic formula of Gelfand and Gangolli for the spectrum of $G\backslash G$

N. Wallach, 1976 .

On symmetric SL-invariant polynomials in four qubits

Gilad Gour, Nolan R. Wallach, N. Wallach, 2012, 1211.5586.

On the separation property of orbits in representation spaces

N. Wallach, H. Kraft, 2002 .

An Unentangled Gleason's Theorem

N. Wallach, 2000, quant-ph/0002058.

Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II

B. Kostant, N. Wallach, 2004, math/0501387.

On 4-dimensional gradient shrinking solitons

N. Wallach, Lei Ni, 2007, 0710.3195.

THE ANALYTIC CONTINUATION OF THE DISCRETE SERIES

N. Wallach, 2010 .

Remarks on global hypoellipticity

N. Wallach, Stephen J. Greenfield, 1973 .

Global hypoellipticity and Liouville numbers

N. Wallach, Stephen J. Greenfield, 1972 .

TRANSFER OF UNITARY REPRESENTATIONS

N. Wallach, Chen-bo Zhu, Chengru Zhu, 2004 .

Limit multiplicities in L2(Γ∖G)

N. Wallach, 1990 .

Limit Formulas for Multiplicities in L 2 (Γ\G) II. The Tempered Spectrum

N. Wallach, David L. Degeorge, 1979 .

Restriction of small discrete series represen-tations to symmetric subgroups

B. Gross, N. Wallach, 2000 .

The fundamental series of representations of a real semisimple Lie algebra

N. Wallach, T. Enright, 1978 .

Unitary derived functor modules with small spectrum

N. Wallach, J. Wolf, T. Enright, 1985 .

Notes on homological algebra and representations of Lie algebras

N. Wallach, T. Enright, 1980 .

Continuous and differentiable cohomology for locally compact totally disconnected groups

A. Borel, N. Wallach, 2000 .

Representations of compact groups and minimal immersions into spheres.

M. D. Carmo, N. Wallach, 1970 .

Resolvent and lattice points on symmetric spaces of strictly negative curvature

N. Wallach, R. Miatello, R. Bruggeman, 1999 .

Introductory lectures on automorphic forms

N. Wallach, 2001 .

THE RESTRICTION OF ADMISSIBLE MODULES

N. Wallach, TO Parabolic Subalgebras, 2010 .

On a Theorem of Ranee Brylinski

N. Wallach, R. Brylinski, B. Kostant, 2009 .

Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds

Joshua P. Swanson, Nolan R. Wallach, N. Wallach, 2021, Combinatorial Theory.

Entanglement of Subspaces and Error Correcting Codes

N. Wallach, G. Gour, 2007, 0704.0251.

Automorphism groups of bounded domains in Banach spaces

N. Wallach, Stephen J. Greenfield, 1972 .

Harmonic differential forms for pseudo-reflection groups I. Semi-invariants

Joshua P. Swanson, Nolan R. Wallach, N. Wallach, 2020, J. Comb. Theory, Ser. A.

Compact minimal submanif olds of a sphere with positive Ricci curvature

N. Wallach, N. Ejiri, By Norio Ejiri, 2006 .

On Matsushima's formula for the Betti numbers of a locally symmetric space

N. Wallach, R. Hotta, 1975 .

Composition series and intertwining operators for the spherical principal series

N. Wallach, Kenneth W. Johnson, 1972 .

Polarizations and Nullcone of Representations of Reductive Groups

N. Wallach, H. Kraft, 2010 .

M-series and Kloosterman–Selberg zeta functions for ℝ-rank one groups

N. Wallach, R. Miatello, 2014 .

An analogue of the Kostant-Rallis multiplicity theorem for $\theta$-group harmonics

N. Wallach, 2016, 1609.01773.

Dimensions of spaces of generalized spherical functions

N. Wallach, T. Oshima, Jing Huang, 1996 .

An Analogue of the Kostant–Rallis Multiplicity Theorem for θ-Group Harmonics

N. Wallach, 2017 .

The Hilbert ball and bi-ball are holomorphically inequivalent

N. Wallach, Stephen J. Greenfield, 1971 .

Classes of unitarizable derived functor modules.

N. Wallach, J. Wolf, T. Enright, 1983, Proceedings of the National Academy of Sciences of the United States of America.