B. Kostant

发表

On convexity, the Weyl group and the Iwasawa decomposition

B. Kostant, 1973 .

Lie Algebra Cohomology and the Generalized Borel-Weil Theorem

B. Kostant, 1961 .

Quantization and unitary representations

B. Kostant, 1970 .

A FORMULA FOR THE MULTIPLICITY OF A WEIGHT.

B. Kostant, 1958, Proceedings of the National Academy of Sciences of the United States of America.

Groups and the Buckyball

S. Sternberg, B. Kostant, Fang-Tzu Chung, 1994 .

T-equivariant K-theory of generalized flag varieties.

Santhosh K. P. Kumar, B. Kostant, 1987, Proceedings of the National Academy of Sciences of the United States of America.

ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II.

B. Kostant, 1956, Proceedings of the National Academy of Sciences of the United States of America.

THE BEGINNINGS OF THE THEORY OF HOPF ALGEBRAS

J. Dieudonne, B. Kostant, John C. Moore, 2008 .

Orbits, Symplectic Structures and Representation Theory

B. Kostant, 2009 .

Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra

B. Kostant, 2003, math/0309232.

The Generalized Cayley Map from an Algebraic Group to its Lie Algebra

P. Michor, B. Kostant, 2001, math/0109066.

The Vanishing of Scalar Curvature on 6 Manifolds, Einstein’s Equation, and Representation Theory

B. Kostant, 1992 .

The Principle of Triality and A Distinguished Unitary Representation of SO(4,4)

B. Kostant, 1988 .

On certain unitary representations which arise from a quantization theory

B. Kostant, 1970 .

Harmonic analysis on graded (or super) Lie groups

B. Kostant, 1978 .

Lie Group Representations on Polynomial Rings

B. Kostant, Bertram Kostant, 1963 .

Hamiltonian group actions and dynamical systems of calogero type

Shlomo Sternberg, D. Kazhdan, S. Sternberg, 1978 .

Graded manifolds, graded Lie theory, and prequantization

B. Kostant, Bertram Kostant, 1977 .

Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras

S. Sternberg, B. Kostant, 1987 .

The solution to a generalized Toda lattice and representation theory

B. Kostant, Bertram Kostant, 1979 .

On the existence and irreducibility of certain series of representations

B. Kostant, 1969 .

The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group

B. Kostant, Bertram Kostant, 1959 .

A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups

B. Kostant, 1999 .

Clifford Algebra Analogue of the Hopf–Koszul–Samelson Theorem, theρ-DecompositionC(g)=End Vρ⊗C(P), and the g-Module Structure of ∧g

B. Kostant, 1997 .

A Theorem of Frobenius, a Theorem of Amitsur-Levitski and Cohomology Theory

B. Kostant, 1958 .

Lie Algebra Cohomology and Generalized Schubert Cells

B. Kostant, Bertram Kostant, 1963 .

On Whittaker vectors and representation theory

B. Kostant, 1978 .

On the tensor product of a finite and an infinite dimensional representation

B. Kostant, 1975 .

Differential Forms on Regular Affine Algebras

B. Kostant, G. Hochschild, A. Rosenberg, 1962 .

Jordan algebras and Capelli identities

B. Kostant, S. Sahi, 1993 .

The Capelli identity, tube domains, and the generalized Laplace transform

Siddhartha Sahi, B. Kostant, S. Sahi, 1991 .

T-equivariant K-theory of generalized flag varieties

B. Kostant, Shrawan Kumar, 1987 .

Root Systems for Levi Factors and Borel–de Siebenthal Theory

B. Kostant, 2007, 0711.2809.

On normed rings

A A Kirillov, Shlomo Sternberg, Victor Guillemin, 1987 .

A Characterization of Invariant Affine Connections

B. Kostant, 1960, Nagoya Mathematical Journal.

ON THE CONJUGACY OF REAL CARTAN SUBALGEBRAS. I.

B. Kostant, 1955, Proceedings of the National Academy of Sciences of the United States of America.

Nilpotent orbits, normality and Hamiltonian group actions

B. Kostant, R. Brylinski, 1992, math/9204227.

On the structure of certain subalgebras of a universal enveloping algebra

B. Kostant, J. Tirao, 1976 .

Polarization and unitary representations of solvable Lie groups

Louis Auslander, B. Kostant, L. Auslander, 1971 .

The McKay correspondence, the Coxeter element and representation theory

B. Kostant, 2019 .

Eigenvalues of a Laplacian and commutative Lie subalgebras

B. Kostant, 1965 .

Minimal representations, geometric quantization, and unitarity.

B. Kostant, R. Brylinski, 1994, Proceedings of the National Academy of Sciences of the United States of America.

Differential Operators on Conical Lagrangian Manifolds

B. Kostant, R. Brylinski, 1994 .

Orbits and Representations Associated with Symmetric Spaces

Stephen Rallis, B. Kostant, Bertram Kostant, 1971 .

The set of Abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations

B. Kostant, 1998 .

On representations associated with symmetric spaces

B. Kostant, S. Rallis, 1969 .

Flag manifold quantum cohomology, the toda lattice, and the representation with highest weight ρ

B. Kostant, 1996 .

Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold

B. Kostant, Bertram Kostant, 1955 .

Groups Over Z

B. Kostant, 2009 .

Lagrangian Models of Minimal Representations of E 6 E 7 and E 8

B. Kostant, R. Brylinski, 1995 .

The Coxeter element and the branching law for the finite subgroups of SU(2)

B. Kostant, 2004, math/0411142.

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

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

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G.

Santhosh K. P. Kumar, B. Kostant, 1986, Proceedings of the National Academy of Sciences of the United States of America.

Γ-EQUIVARIANT ^-THEORY OF GENERALIZED FLAG VARIETIES

B. Kostant, Shrawan Kumar, 2008 .

Douglas' solution of the Plateau problem.

S. Sternberg, V. Guillemin, B. Kostant, 1988, Proceedings of the National Academy of Sciences of the United States of America.

The Schwartzian Derivative and the Conformal Geometry of the Lorentz Hyperboloid

S. Sternberg, B. Kostant, 1988 .

Verma modules and the existence of quasi-invariant differential operators

B. Kostant, 1975 .

Dirac Cohomology for the Cubic Dirac Operator

B. Kostant, 2002, math/0208048.

A Generalization of the Bott–Borel–Weil Theorem and Euler Number Multiplets of Representations

B. Kostant, 2000 .

On Holonomy and Homogeneous Spaces

B. Kostant, 1957, Nagoya Mathematical Journal.

Representation Theory of Lie Groups: Quantization and representation theory

B. Kostant, B. Kostant, 1980 .

On one-parametrical groups of operators in a normed space

S. Sternberg, V. Guillemin, S. Gindikin, 1987 .

The Graph of the Truncated Icosahedron and the Last Letter of Galois

B. Kostant, 1995 .

On Macdonald's η-function formula, the Laplacian and generalized exponents

B. Kostant, 1976 .

Immanant inequalities and 0-weight spaces

B. Kostant, 1995 .

On some exotic finite subgroups of E8 and Springer’s regular elements of the Weyl group

B. Kostant, 2010 .

The Weyl algebra and the structure of all Lie superalgebras of Riemannian type

B. Kostant, 2001, math/0106171.

Quantization and representations of solvable Lie groups

B. Kostant, L. Auslander, 1967 .

Generalized Robinson-Schensted Algorithms

B. Kostant, A. Knutson, R. Melrose, 2009 .

A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem

B. Kostant, 2002, math/0205283.

On the centralizer of K in U(g)

B. Kostant, 2007 .

On the Centralizer of $K$ in $U(\frak {g})$

B. Kostant, 2006, math/0607215.

Lectures in Modern Analysis and Applications I

R. M. Dudley, J. Feldman, B. Kostant, 1969 .

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

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

Minimal coadjoint orbits and symplectic induction

B. Kostant, 2003, math/0312252.

Symplectic Projective Orbits

S. Sternberg, B. Kostant, 1982 .

The Nil Hecke Ring and Cohomology of

B. Kostant, BERTRAM KOSTANT, SHRAWAN KUMAR, 2003 .

The Weyl character formula, the half-spin representations, and equal rank subgroups.

S. Sternberg, B. Kostant, B. Gross, 1998, Proceedings of the National Academy of Sciences of the United States of America.

The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group

B. Kostant, 2011, 1101.5382.

Weight Varieties

V. Guillemin, B. Kostant, A. Knutson, 2007 .

ON INVARIANT SKEW-TENSORS.

B. Kostant, 1956, Proceedings of the National Academy of Sciences of the United States of America.

Structure of the truncated icosahedron (such as fullerene or viral coatings) and a 60-element conjugacy class in PSl(2, 11).

B. Kostant, 1994, Proceedings of the National Academy of Sciences of the United States of America.

Center U(\mathfrak{n}), Cascade of Orthogonal Roots, and a Construction of Lipsman–Wolf

B. Kostant, 2013 .

Weyl group characters afforded by zero weight spaces

B. Kostant, 2018 .

THE BEGINNINGS OF THE THEORY OF HOPF ALGEBRAS

J. Dieudonne, B. Kostant, John C. Moore, 2008 .

Geometric quantization and graded Lie algebras

B. Kostant, 1976 .

A Formula of Gauss-Kummer and the Trace of Certain Intertwining Operators

B. Kostant, 1990 .

1 2 D ec 2 00 3 Minimal coadjoint orbits and symplectic induction

B. Kostant, 2003 .

Experimental evidence for the occurrence of E8 in nature and the radii of the Gosset circles

B. Kostant, 2010, 1003.0046.

A FORMULA FOR THE MULTIPLICITY OF A WEIGHT.

B. Kostant, 1958, Proceedings of the National Academy of Sciences of the United States of America.

On orbits associated with symmetric spaces

B. Kostant, S. Rallis, 1969 .

A ug 2 00 2 Dirac Cohomology for the Cubic Dirac Operator

B. Kostant, 2008 .

Representation Theory of Lie Groups

S. Helgason, M. Atiyah, B. Kostant, 1980 .