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Author ID: kostant.bertram.1 Recent zbMATH articles by "Kostant, Bertram"
Published as: Kostant, Bertram; Kostant, B.
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 120 Publications since 1955, including 4 Books
3 Contributions as Editor · 1 Further Contribution
Biographic References: 4 Publications
Co-Authors: 43 Co-Authors with 48 Joint Publications
1,723 Co-Co-Authors
all top 5

Co-Authors

75 single-authored
10 Sternberg, Shlomo
9 Kumar, Shrawan
7 Brylinski, Ranee Kathryn
5 Vergne, Michèle
5 Wallach, Nolan Russell
4 Gindikin, Simon Grigorevich
4 Guillemin, Victor W.
4 Joseph, Anthony
4 Rallis, Stephen James
3 Gel’fand, Israil’ Moiseevich
3 Kirillov, Alexandre Aleksandrovich
3 Moore, Calvin C.
2 Auslander, Louis
2 Hochschild, Gerhard Paul
2 Kazhdan, David A.
2 Sahi, Siddhartha
1 Albeverio, Sergio A.
1 Backhouse, Nigel B.
1 Baez, John C.
1 Bateman, Paul Trevier
1 Bergman, George M.
1 Beschler, Edwin F.
1 Birman, Joseph L.
1 Chern, Shiing-Shen
1 Chung, Fan
1 Dürr, Hans-Peter Emil
1 Emch, Gerard G.
1 Ferrer Santos, Walter Ricardo
1 Frei, Hans-Peter
1 Gerstenhaber, Murray
1 Gross, Benedict Hyman
1 Gross, Leonard
1 Günthard, Hs. H.
1 Høegh-Krohn, Raphael J.
1 Hughes, J. W. B.
1 Jarić, Marko V.
1 Kailath, Thomas
1 Kerber, Adalbert
1 King, Ronald C.
1 Kramer, Peter
1 Lax, Peter David
1 Magid, Andy Roy
1 Michor, Peter Wolfram
1 Moskowitz, Martin A.
1 Mostow, George Daniel
1 Nahlus, Nazih
1 Nelson, Joseph Edward
1 O’Raifeartaigh, Lochlainn
1 Patera, Jiří
1 Primas, Hans
1 Qubanchi, A. H. A.
1 Ramond, Pierre
1 Retakh, Vladimir Solomonovich
1 Rieckers, Alfred
1 Rittenberg, Vladimir
1 Rosenberg, Alex
1 Rosensteel, George
1 Rowe, David J.
1 Singer, Isadore Manuel
1 Sullivan, Dennis Parnell
1 Tate, John Torrence jun.
1 Tirao, Juan
1 Tsao, Anna
1 van den Broec, P. M.
1 van Leeuwen, J. M. J.
1 Vershik, Anatoliĭ Moiseevich
1 Wightman, Arthur Strong
1 Winternitz, Pavel
1 Zassenhaus, Hans Julius
1 Zelevinskiĭ, Andreĭ V.

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 4,047 times in 3,327 Documents Cited by Year
Lie group representations on polynomial rings. Zbl 0124.26802
Kostant, Bertram
370
1963
Lie algebra cohomology and the generalized Borel-Weil theorem. Zbl 0134.03501
Kostant, Bertram
313
1961
The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Zbl 0099.25603
Kostant, Bertram
302
1959
On Whittaker vectors and representation theory. Zbl 0405.22013
Kostant, Bertram
230
1978
Quantization and unitary representations. I: Prequantization. Zbl 0223.53028
Kostant, Bertram
209
1970
The solution to a generalized Toda lattice and representation theory. Zbl 0433.22008
Kostant, Bertram
198
1979
Orbits and representations associated with symmetric spaces. Zbl 0224.22013
Kostant, Bertram; Rallis, S.
167
1971
Hamiltonian group actions and dynamical systems of Calogero type. Zbl 0368.58008
Kazhdan, David; Kostant, Bertram; Sternberg, S.
149
1978
Graded manifolds, graded Lie theory, and prequantization. Zbl 0358.53024
Kostant, Bertram
147
1977
On convexity, the Weyl group and the Iwasawa decomposition. Zbl 0293.22019
Kostant, Bertram
132
1973
Differential forms on regular affine algebras. Zbl 0102.27701
Hochschild, G.; Kostant, Bertram; Rosenberg, Alex
132
1962
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0641.17008
Kostant, Bertram; Kumar, Shrawan
108
1986
On the existence and irreducibility of certain series of representations. Zbl 0229.22026
Kostant, Bertram
105
1969
Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore. Zbl 0233.22005
Auslander, Louis; Kostant, Bertram
85
1971
Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras. Zbl 0642.17003
Kostant, Bertram; Sternberg, Shlomo
79
1987
A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups. Zbl 0952.17005
Kostant, Bertram
78
1999
T-equivariant K-theory of generalized flag varieties. Zbl 0731.55005
Kostant, Bertram; Kumar, Shrawan
62
1990
A formula for the multiplicity of a weight. Zbl 0131.27201
Kostant, Bertram
51
1959
On the tensor product of a finite and an infinite dimensional representation. Zbl 0355.17010
Kostant, Bertram
50
1975
The set of abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations. Zbl 0896.17002
Kostant, Bertram
44
1998
Clifford algebra analogue of the Hopf-Koszul-Samelson theorem, the \(\rho\)-decomposition \(C({\mathfrak g})=\text{End }V_ \rho\otimes C(P)\), and the \({\mathfrak g}\)-module structure of \(\bigwedge {\mathfrak g}\). Zbl 0882.17002
Kostant, Bertram
42
1997
Eigenvalues of a Laplacian and commutative Lie subalgebras. Zbl 0134.03504
Kostant, Bertram
39
1965
On Macdonald’s \(\eta\)-function formula, the Laplacian and generalized exponents. Zbl 0339.10019
Kostant, Bertram
39
1976
Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\). Zbl 0868.14024
Kostant, Bertram
38
1996
Lie algebra cohomology and generalized Schubert cells. Zbl 0134.03503
Kostant, Bertram
36
1963
A theorem of Frobenius, a theorem of Amitsur-Levitzki and cohomology theory. Zbl 0087.25702
Kostant, Bertram
35
1958
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
35
2006
Symplectic spinors. Zbl 0321.58015
Kostant, Bertram
34
1974
Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold. Zbl 0066.16001
Kostant, Bertram
32
1955
On the conjugacy of real Cartan subalgebras. I. Zbl 0065.26901
Kostant, Bertram
30
1955
Quantization and unitary representations. I: Prequantization. Zbl 0249.53016
Kostant, Bertram
28
1973
Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0826.22017
Brylinski, Ranee; Kostant, Bertram
27
1994
The Capelli identity, tube domains, and the generalized Laplace transform. Zbl 0748.22008
Kostant, Bertram; Sahi, Siddhartha
27
1991
Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra. Zbl 1076.17002
Kostant, Bertram
26
2004
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
24
2006
Minimal representations, geometric quantizations, and unitarity. Zbl 0803.58023
Brylinski, Ranee; Kostant, Bertram
23
1994
Quantization and representations of solvable Lie groups. Zbl 0203.03302
Auslander, Louis; Kostant, Bertram
23
1967
On differential geometry and homogeneous spaces. II. Zbl 0075.31603
Kostant, Bertram
23
1956
Dirac cohomology for the cubic Dirac operator. Zbl 1165.17301
Kostant, Bertram
20
2003
The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group. Zbl 1260.14058
Kostant, Bertram
20
2012
The Weyl character formula, the half-spin representations, and equal rank subgroups. Zbl 0918.17002
Gross, Benedict; Kostant, Bertram; Ramond, Pierre; Sternberg, Shlomo
19
1998
Jordan algebras and Capelli identities. Zbl 0999.17043
Kostant, Bertram; Sahi, Siddhartha
17
1993
Groups over \(\mathbb{Z}\). Zbl 0199.06903
Kostant, Bertram
17
1966
Verma modules and the existence of quasi-invariant differential operators. Zbl 0372.22009
Kostant, Bertram
16
1975
Orbits, symplectic structures and representation theory. Zbl 0141.02701
Kostant, Bertram
16
1966
The vanishing of scalar curvature and the minimal representation of SO(4,4). Zbl 0739.22012
Kostant, Bertram
16
1990
On holonomy and homogeneous spaces. Zbl 0109.14603
Kostant, Bertram
15
1957
The Euler characteristic of an affine space form is zero. Zbl 0313.57009
Kostant, Bertram; Sullivan, D.
14
1975
A formula for the multiplicity of a weight. Zbl 0081.02202
Kostant, Bertram
14
1958
Root systems for Levi factors and Borel-de Siebenthal theory. Zbl 1226.17008
Kostant, Bertram
13
2010
Minimal representations of \(E_ 6\), \(E_ 7\), and \(E_ 8\) and the generalized Capelli identity. Zbl 0812.22009
Brylinski, Ranee; Kostant, Bertram
12
1994
Quantization and representation theory. Zbl 0474.58010
Kostant, Bertram
11
1979
A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem. Zbl 1162.17304
Kostant, Bertram
11
2004
On the existence and irreducibility of certain series of representations. Zbl 0327.22010
Kostant, Bertram
11
1975
A Lie algebra generalization of the Amitsur-Levitski theorem. Zbl 0493.17006
Kostant, Bertram
11
1981
The Coxeter element and the branching law for the finite subgroups of SU(2). Zbl 1139.22008
Kostant, Bertram
11
2006
Lie group representations on polynomial rings. Zbl 0248.20056
Kostant, Bertram
10
1963
On invariant skew-tensors. Zbl 0073.17001
Kostant, Bertram
10
1956
A characterization of invariant affine connections. Zbl 0093.35502
Kostant, Bertram
10
1960
On finite subgroups of \(\text{SU}(2)\), simple Lie algebras, and the McKay correspondence. Zbl 0551.22004
Kostant, Bertram
10
1984
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0588.17012
Kostant, Bertram; Kumar, Shrawan
10
1986
On the structure of certain subalgebras of a universal enveloping algebra. Zbl 0355.17015
Kostant, Bertram; Tirao, Juan
9
1976
A generalization of the Bott-Weil theorem and Euler number multiplets of representations. Zbl 0960.22011
Kostant, Bertram
9
2000
\(T\)-equivariant \(K\)-theory of generalized flag varieties. Zbl 0624.55007
Kostant, Bertram; Kumar, Shrawan
9
1987
On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of \(Sl(2,\mathbb R)\). Zbl 1045.22017
Kostant, Bertram
8
2000
Differential operators on conical Lagrangian manifolds. Zbl 0878.58033
Brylinski, Ranee; Kostant, Bertram
8
1994
On orbits associated with symmetric spaces. Zbl 0223.53049
Kostant, Bertram; Rallis, Stephen
8
1969
A characterization of the classical groups. Zbl 0079.04301
Kostant, Bertram
8
1958
On the definition of quantization. Zbl 0326.53047
Kostant, Bertram
8
1975
On representations associated with symmetric spaces. Zbl 0223.53050
Kostant, Bertram; Rallis, Stephen
7
1969
The Weyl algebra and the structure of all Lie superalgebras of Riemannian type. Zbl 0994.17003
Kostant, Bertram
7
2001
Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0762.22008
Brylinski, Ranee; Kostant, Bertram
6
1992
Center \(U(\mathfrak n)\), cascade of orthogonal roots, and a construction of Lipsman-Wolf. Zbl 1322.22007
Kostant, Bertram
6
2013
Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic group. Zbl 1149.14302
Kostant, Bertram
5
1997
Lagrangian models of minimal representations of \(E_ 6\), \(E_ 7\) and \(E_ 8\). Zbl 0851.22017
Brylinski, Ranee; Kostant, Bertram
5
1995
The variety of all invariant symplectic structures on a homogeneous space and normalizers of isotropy subgroups. Zbl 0813.53033
Brylinski, Ranee; Kostant, Bertram
5
1991
Experimental evidence for the occurrence of \(E_8\) in nature and the radii of the Gosset circles. Zbl 1204.22018
Kostant, Bertram
5
2010
Symplectic projective orbits. Zbl 0484.22022
Kostant, Bertram; Sternberg, Shlomo
5
1982
Orbits and quantization theory. Zbl 0233.22006
Kostant, Bertram
4
1971
Structure of the truncated icosahedron (e.g. fullerene or \(\text{C}_{60}\), viral coatings) and a \(60\)-element conjugacy class in \(\text{PSl}(2,11)\). Zbl 0830.20073
Kostant, B.
4
1995
Structure of the truncated icosahedron (such as fullerene or viral coatings) and a 60-element conjugacy in \(\text{PSl}(2,11)\). Zbl 0820.20002
Kostant, Bertram
3
1994
Immanant inequalities and 0-weight spaces. Zbl 0868.22016
Kostant, Bertram
3
1995
Groups and the buckyball. Zbl 0844.20031
Chung, Fan R. K.; Kostant, Bertram; Sternberg, Shlomo
3
1994
The graph of the truncated icosahedron and the last letter of Galois. Zbl 1047.52500
Kostant, Bertram
3
1995
The generalized Cayley map from an algebraic group to its Lie algebra. Zbl 1072.20051
Kostant, Bertram; Michor, Peter W.
3
2003
Minimal coadjoint orbits and symplectic induction. Zbl 1079.53137
Kostant, Bertram
3
2005
Fomenko-Mischenko theory, Hessenberg varieties, and polarizations. Zbl 1183.53081
Kostant, Bertram
2
2009
Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation. Zbl 1327.78003
Kostant, Bertram; Wallach, Nolan R.
2
2014
On \(\bigwedge {\mathfrak g}\) for a semisimple Lie algebra \({\mathfrak g}\), as an equivariant module over the symmetric algebra \(S({\mathfrak g})\). Zbl 0986.17002
Kostant, Bertram
1
2000
A generalization of the Bott-Borel-Weil theorem and Euler multiplets of representations. Zbl 0974.22012
Kostant, Bertram
1
2000
On certain unitary representations which arise from a quantization theory. Zbl 0229.20048
Kostant, Bertram
1
1970
Douglas’ solution of the Plateau problem. Zbl 0666.49014
Guillemin, Victor; Kostant, Bertram; Sternberg, Shlomo
1
1988
On differential geometry and homogeneous spaces. I. Zbl 0071.37602
Kostant, Bertram
1
1956
Differential forms and Lie algebra cohomology for algebraic linear groups. Zbl 0107.02601
Hochschild, G.; Kostant, Bertram
1
1962
The principle of triality and a distinguished unitary representation of SO(4,4). Zbl 0663.22009
Kostant, Bertram
1
1988
The McKay correspondence, the Coxeter element and representation theory. Zbl 0605.22010
Kostant, Bertram
1
1985
Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. Zbl 0662.01018
Gelfand, Izrail M.
1
1989
On some exotic finite subgroups of \(E_8\) and Springer’s regular elements of the Weyl group. Zbl 1234.20058
Kostant, Bertram
1
2010
On a theorem of Ranee Brylinski. Zbl 1267.17006
Kostant, Bertram; Wallach, Nolan
1
2009
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1
1999
Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation. Zbl 1327.78003
Kostant, Bertram; Wallach, Nolan R.
2
2014
Center \(U(\mathfrak n)\), cascade of orthogonal roots, and a construction of Lipsman-Wolf. Zbl 1322.22007
Kostant, Bertram
6
2013
The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group. Zbl 1260.14058
Kostant, Bertram
20
2012
On the algebraic set of singular elements in a complex simple Lie algebra. Zbl 1235.22009
Kostant, Bertram; Wallach, Nolan
1
2011
Root systems for Levi factors and Borel-de Siebenthal theory. Zbl 1226.17008
Kostant, Bertram
13
2010
Experimental evidence for the occurrence of \(E_8\) in nature and the radii of the Gosset circles. Zbl 1204.22018
Kostant, Bertram
5
2010
On some exotic finite subgroups of \(E_8\) and Springer’s regular elements of the Weyl group. Zbl 1234.20058
Kostant, Bertram
1
2010
Fomenko-Mischenko theory, Hessenberg varieties, and polarizations. Zbl 1183.53081
Kostant, Bertram
2
2009
On a theorem of Ranee Brylinski. Zbl 1267.17006
Kostant, Bertram; Wallach, Nolan
1
2009
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
35
2006
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
24
2006
The Coxeter element and the branching law for the finite subgroups of SU(2). Zbl 1139.22008
Kostant, Bertram
11
2006
Minimal coadjoint orbits and symplectic induction. Zbl 1079.53137
Kostant, Bertram
3
2005
Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra. Zbl 1076.17002
Kostant, Bertram
26
2004
A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem. Zbl 1162.17304
Kostant, Bertram
11
2004
Dirac cohomology for the cubic Dirac operator. Zbl 1165.17301
Kostant, Bertram
20
2003
The generalized Cayley map from an algebraic group to its Lie algebra. Zbl 1072.20051
Kostant, Bertram; Michor, Peter W.
3
2003
The Weyl algebra and the structure of all Lie superalgebras of Riemannian type. Zbl 0994.17003
Kostant, Bertram
7
2001
A generalization of the Bott-Weil theorem and Euler number multiplets of representations. Zbl 0960.22011
Kostant, Bertram
9
2000
On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of \(Sl(2,\mathbb R)\). Zbl 1045.22017
Kostant, Bertram
8
2000
On \(\bigwedge {\mathfrak g}\) for a semisimple Lie algebra \({\mathfrak g}\), as an equivariant module over the symmetric algebra \(S({\mathfrak g})\). Zbl 0986.17002
Kostant, Bertram
1
2000
A generalization of the Bott-Borel-Weil theorem and Euler multiplets of representations. Zbl 0974.22012
Kostant, Bertram
1
2000
A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups. Zbl 0952.17005
Kostant, Bertram
78
1999
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1
1999
The set of abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations. Zbl 0896.17002
Kostant, Bertram
44
1998
The Weyl character formula, the half-spin representations, and equal rank subgroups. Zbl 0918.17002
Gross, Benedict; Kostant, Bertram; Ramond, Pierre; Sternberg, Shlomo
19
1998
Clifford algebra analogue of the Hopf-Koszul-Samelson theorem, the \(\rho\)-decomposition \(C({\mathfrak g})=\text{End }V_ \rho\otimes C(P)\), and the \({\mathfrak g}\)-module structure of \(\bigwedge {\mathfrak g}\). Zbl 0882.17002
Kostant, Bertram
42
1997
Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic group. Zbl 1149.14302
Kostant, Bertram
5
1997
Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\). Zbl 0868.14024
Kostant, Bertram
38
1996
Lagrangian models of minimal representations of \(E_ 6\), \(E_ 7\) and \(E_ 8\). Zbl 0851.22017
Brylinski, Ranee; Kostant, Bertram
5
1995
Structure of the truncated icosahedron (e.g. fullerene or \(\text{C}_{60}\), viral coatings) and a \(60\)-element conjugacy class in \(\text{PSl}(2,11)\). Zbl 0830.20073
Kostant, B.
4
1995
Immanant inequalities and 0-weight spaces. Zbl 0868.22016
Kostant, Bertram
3
1995
The graph of the truncated icosahedron and the last letter of Galois. Zbl 1047.52500
Kostant, Bertram
3
1995
Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0826.22017
Brylinski, Ranee; Kostant, Bertram
27
1994
Minimal representations, geometric quantizations, and unitarity. Zbl 0803.58023
Brylinski, Ranee; Kostant, Bertram
23
1994
Minimal representations of \(E_ 6\), \(E_ 7\), and \(E_ 8\) and the generalized Capelli identity. Zbl 0812.22009
Brylinski, Ranee; Kostant, Bertram
12
1994
Differential operators on conical Lagrangian manifolds. Zbl 0878.58033
Brylinski, Ranee; Kostant, Bertram
8
1994
Structure of the truncated icosahedron (such as fullerene or viral coatings) and a 60-element conjugacy in \(\text{PSl}(2,11)\). Zbl 0820.20002
Kostant, Bertram
3
1994
Groups and the buckyball. Zbl 0844.20031
Chung, Fan R. K.; Kostant, Bertram; Sternberg, Shlomo
3
1994
Jordan algebras and Capelli identities. Zbl 0999.17043
Kostant, Bertram; Sahi, Siddhartha
17
1993
Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0762.22008
Brylinski, Ranee; Kostant, Bertram
6
1992
The Capelli identity, tube domains, and the generalized Laplace transform. Zbl 0748.22008
Kostant, Bertram; Sahi, Siddhartha
27
1991
The variety of all invariant symplectic structures on a homogeneous space and normalizers of isotropy subgroups. Zbl 0813.53033
Brylinski, Ranee; Kostant, Bertram
5
1991
T-equivariant K-theory of generalized flag varieties. Zbl 0731.55005
Kostant, Bertram; Kumar, Shrawan
62
1990
The vanishing of scalar curvature and the minimal representation of SO(4,4). Zbl 0739.22012
Kostant, Bertram
16
1990
Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. Zbl 0662.01018
Gelfand, Izrail M.
1
1989
Douglas’ solution of the Plateau problem. Zbl 0666.49014
Guillemin, Victor; Kostant, Bertram; Sternberg, Shlomo
1
1988
The principle of triality and a distinguished unitary representation of SO(4,4). Zbl 0663.22009
Kostant, Bertram
1
1988
Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras. Zbl 0642.17003
Kostant, Bertram; Sternberg, Shlomo
79
1987
\(T\)-equivariant \(K\)-theory of generalized flag varieties. Zbl 0624.55007
Kostant, Bertram; Kumar, Shrawan
9
1987
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0641.17008
Kostant, Bertram; Kumar, Shrawan
108
1986
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0588.17012
Kostant, Bertram; Kumar, Shrawan
10
1986
The McKay correspondence, the Coxeter element and representation theory. Zbl 0605.22010
Kostant, Bertram
1
1985
On finite subgroups of \(\text{SU}(2)\), simple Lie algebras, and the McKay correspondence. Zbl 0551.22004
Kostant, Bertram
10
1984
Symplectic projective orbits. Zbl 0484.22022
Kostant, Bertram; Sternberg, Shlomo
5
1982
A Lie algebra generalization of the Amitsur-Levitski theorem. Zbl 0493.17006
Kostant, Bertram
11
1981
The solution to a generalized Toda lattice and representation theory. Zbl 0433.22008
Kostant, Bertram
198
1979
Quantization and representation theory. Zbl 0474.58010
Kostant, Bertram
11
1979
On Whittaker vectors and representation theory. Zbl 0405.22013
Kostant, Bertram
230
1978
Hamiltonian group actions and dynamical systems of Calogero type. Zbl 0368.58008
Kazhdan, David; Kostant, Bertram; Sternberg, S.
149
1978
Graded manifolds, graded Lie theory, and prequantization. Zbl 0358.53024
Kostant, Bertram
147
1977
On Macdonald’s \(\eta\)-function formula, the Laplacian and generalized exponents. Zbl 0339.10019
Kostant, Bertram
39
1976
On the structure of certain subalgebras of a universal enveloping algebra. Zbl 0355.17015
Kostant, Bertram; Tirao, Juan
9
1976
On the tensor product of a finite and an infinite dimensional representation. Zbl 0355.17010
Kostant, Bertram
50
1975
Verma modules and the existence of quasi-invariant differential operators. Zbl 0372.22009
Kostant, Bertram
16
1975
The Euler characteristic of an affine space form is zero. Zbl 0313.57009
Kostant, Bertram; Sullivan, D.
14
1975
On the existence and irreducibility of certain series of representations. Zbl 0327.22010
Kostant, Bertram
11
1975
On the definition of quantization. Zbl 0326.53047
Kostant, Bertram
8
1975
Symplectic spinors. Zbl 0321.58015
Kostant, Bertram
34
1974
On convexity, the Weyl group and the Iwasawa decomposition. Zbl 0293.22019
Kostant, Bertram
132
1973
Quantization and unitary representations. I: Prequantization. Zbl 0249.53016
Kostant, Bertram
28
1973
Orbits and representations associated with symmetric spaces. Zbl 0224.22013
Kostant, Bertram; Rallis, S.
167
1971
Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore. Zbl 0233.22005
Auslander, Louis; Kostant, Bertram
85
1971
Orbits and quantization theory. Zbl 0233.22006
Kostant, Bertram
4
1971
Quantization and unitary representations. I: Prequantization. Zbl 0223.53028
Kostant, Bertram
209
1970
On certain unitary representations which arise from a quantization theory. Zbl 0229.20048
Kostant, Bertram
1
1970
On the existence and irreducibility of certain series of representations. Zbl 0229.22026
Kostant, Bertram
105
1969
On orbits associated with symmetric spaces. Zbl 0223.53049
Kostant, Bertram; Rallis, Stephen
8
1969
On representations associated with symmetric spaces. Zbl 0223.53050
Kostant, Bertram; Rallis, Stephen
7
1969
Quantization and representations of solvable Lie groups. Zbl 0203.03302
Auslander, Louis; Kostant, Bertram
23
1967
Groups over \(\mathbb{Z}\). Zbl 0199.06903
Kostant, Bertram
17
1966
Orbits, symplectic structures and representation theory. Zbl 0141.02701
Kostant, Bertram
16
1966
Eigenvalues of a Laplacian and commutative Lie subalgebras. Zbl 0134.03504
Kostant, Bertram
39
1965
Lie group representations on polynomial rings. Zbl 0124.26802
Kostant, Bertram
370
1963
Lie algebra cohomology and generalized Schubert cells. Zbl 0134.03503
Kostant, Bertram
36
1963
Lie group representations on polynomial rings. Zbl 0248.20056
Kostant, Bertram
10
1963
Differential forms on regular affine algebras. Zbl 0102.27701
Hochschild, G.; Kostant, Bertram; Rosenberg, Alex
132
1962
Differential forms and Lie algebra cohomology for algebraic linear groups. Zbl 0107.02601
Hochschild, G.; Kostant, Bertram
1
1962
Lie algebra cohomology and the generalized Borel-Weil theorem. Zbl 0134.03501
Kostant, Bertram
313
1961
A characterization of invariant affine connections. Zbl 0093.35502
Kostant, Bertram
10
1960
The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Zbl 0099.25603
Kostant, Bertram
302
1959
A formula for the multiplicity of a weight. Zbl 0131.27201
Kostant, Bertram
51
1959
A theorem of Frobenius, a theorem of Amitsur-Levitzki and cohomology theory. Zbl 0087.25702
Kostant, Bertram
35
1958
A formula for the multiplicity of a weight. Zbl 0081.02202
Kostant, Bertram
14
1958
A characterization of the classical groups. Zbl 0079.04301
Kostant, Bertram
8
1958
On holonomy and homogeneous spaces. Zbl 0109.14603
Kostant, Bertram
15
1957
On differential geometry and homogeneous spaces. II. Zbl 0075.31603
Kostant, Bertram
23
1956
On invariant skew-tensors. Zbl 0073.17001
Kostant, Bertram
10
1956
On differential geometry and homogeneous spaces. I. Zbl 0071.37602
Kostant, Bertram
1
1956
Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold. Zbl 0066.16001
Kostant, Bertram
32
1955
...and 1 more Documents
all top 5

Cited by 2,797 Authors

45 Panyushev, Dmitri Ivanovich
34 Joseph, Anthony
28 Kostant, Bertram
23 Kac, Victor G.
21 Futorny, Vyacheslav M.
21 Guillemin, Victor W.
20 Kobayashi, Toshiyuki
18 Papi, Paolo
18 Sahi, Siddhartha
18 Wallach, Nolan Russell
17 Ratiu, Tudor Stefan
16 Kumar, Shrawan
15 Huang, Jing-Song
15 Yakimova, Oksana S.
14 Fehér, László Gy.
14 Lepowsky, James
13 Čap, Andreas
13 Ginzburg, Victor
13 Lam, Thomas F.
13 Ørsted, Bent
13 Procesi, Claudio
13 Sánchez Valenzuela, Oscar Adolfo
13 Sternberg, Shlomo
13 Tam, Tin-Yau
13 Weinstein, Alan David
12 Damianou, Pantelis Andrea
12 Möseneder Frajria, Pierluigi
12 Zhang, Genkai
11 Bloch, Anthony Michael
11 Pandžić, Pavle
11 Ramirez, Luis Enrique
11 Shimozono, Mark
10 Gourevitch, Dmitry
10 Rawnsley, John H.
10 Vogan, David Alexander jun.
10 Zainoulline, Kirill
9 Arakawa, Tomoyuki
9 Arnal, Didier
9 Brion, Michel
9 Bruzzo, Ugo
9 Brylinski, Jean-Luc
9 Chuah, Meng-Kiat
9 Etingof, Pavel Il’ich
9 Evens, Sam
9 Frenkel, Edward V.
9 Harada, Megumi
9 Ivashchuk, Vladimir D.
9 Lusztig, George
9 Mazorchuk, Volodymyr
9 Monterde, Juan
9 Pusztai, Béla Gábor
9 Schwermer, Joachim
9 Vergne, Michèle
9 Winternitz, Pavel
8 Berestovskiĭ, Valeriĭ Nikolaevich
8 Cellini, Paola
8 Feĭgin, Boris L’vovich
8 Figueroa-O’Farrill, José Miguel
8 Fioresi, Rita
8 Gekhtman, Mikhaèl I.
8 Hanlon, Phil
8 Harnad, John
8 Harris, Pamela E.
8 Helgason, Sigurdur
8 Tuynman, Gijs M.
8 Tymoczko, Julianna S.
8 Wolf, Joseph Albert
7 Adams, Malcolm R.
7 Aizenbud, Avraham
7 Aldaya, Victor
7 Cai, Yanan
7 Dooley, Anthony Haynes
7 Fauquant-Millet, Florence
7 Gel’fand, Israil’ Moiseevich
7 Gerstenhaber, Murray
7 Gould, Mark D.
7 Ignatev, Mikhail V.
7 Insko, Erik
7 Ishii, Taku
7 Kosmann-Schwarzbach, Yvette
7 Lu, Jiang-Hua
7 Manivel, Laurent
7 Masuoka, Akira
7 Matumoto, Hisayosi
7 Nikonorov, Yurii Gennadyevich
7 Oda, Takayuki
7 Odzijewicz, Anatol
7 Pevzner, Michael
7 Popov, Vladimir Leonidovich
7 Precup, Martha E.
7 Pukánszky, Lajos
7 Rietsch, Konstanze
7 Rybnikov, Leonid Grigor’evich
7 Širola, Boris
7 Śniatycki, Jędrzej
7 Soucek, Vladimir
7 The, Dennis
7 Valeri, Daniele
7 Williams, Floyd L.
7 Zhong, Changlong
...and 2,697 more Authors
all top 5

Cited in 302 Serials

210 Journal of Algebra
184 Advances in Mathematics
148 Transactions of the American Mathematical Society
129 Journal of Geometry and Physics
124 Communications in Mathematical Physics
118 Journal of Mathematical Physics
111 Inventiones Mathematicae
100 Transformation Groups
93 Journal of Functional Analysis
84 Duke Mathematical Journal
75 Letters in Mathematical Physics
71 Representation Theory
59 Proceedings of the American Mathematical Society
53 Annales de l’Institut Fourier
51 Journal of Pure and Applied Algebra
51 Mathematische Annalen
50 Compositio Mathematica
47 Mathematische Zeitschrift
46 Differential Geometry and its Applications
44 Communications in Algebra
40 Selecta Mathematica. New Series
38 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
38 Linear Algebra and its Applications
35 Functional Analysis and its Applications
30 Journal of High Energy Physics
28 Bulletin of the American Mathematical Society
27 Manuscripta Mathematica
26 Journal of the American Mathematical Society
26 Bulletin of the American Mathematical Society. New Series
25 Algebras and Representation Theory
24 Israel Journal of Mathematics
23 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
22 Comptes Rendus. Mathématique. Académie des Sciences, Paris
20 Tôhoku Mathematical Journal. Second Series
19 Reports on Mathematical Physics
19 Theoretical and Mathematical Physics
18 Nuclear Physics. B
18 Memoirs of the American Mathematical Society
18 Journal of Algebraic Combinatorics
17 Journal of Soviet Mathematics
16 Acta Mathematica
16 Bulletin de la Société Mathématique de France
16 Annals of Global Analysis and Geometry
15 Geometriae Dedicata
15 Journal of Lie Theory
15 International Journal of Geometric Methods in Modern Physics
14 Publications of the Research Institute for Mathematical Sciences, Kyoto University
14 International Journal of Mathematics
13 International Journal of Theoretical Physics
13 Publications Mathématiques
13 Journal für die Reine und Angewandte Mathematik
13 Proceedings of the Japan Academy. Series A
13 Physica D
13 The Journal of Geometric Analysis
13 Annales de l’Institut Henri Poincaré. Physique Théorique
13 Indagationes Mathematicae. New Series
13 Journal of Mathematical Sciences (New York)
12 Nagoya Mathematical Journal
12 Acta Applicandae Mathematicae
12 Bulletin des Sciences Mathématiques
11 Mathematical Notes
11 Reviews in Mathematical Physics
11 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
11 Journal of the European Mathematical Society (JEMS)
10 Forum Mathematicum
10 Annals of Mathematics. Second Series
10 Acta Mathematica Sinica. English Series
10 Journal of the Institute of Mathematics of Jussieu
9 Linear and Multilinear Algebra
9 Journal of Algebra and its Applications
9 Journal of Physics A: Mathematical and Theoretical
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Michigan Mathematical Journal
8 Documenta Mathematica
8 Journal of Nonlinear Mathematical Physics
7 Discrete Mathematics
7 Journal of Combinatorial Theory. Series A
7 Journal of the Mathematical Society of Japan
7 Advances in Applied Mathematics
7 Frontiers of Mathematics in China
7 Journal of Noncommutative Geometry
6 Journal of Mathematical Analysis and Applications
6 Siberian Mathematical Journal
6 European Journal of Combinatorics
6 \(K\)-Theory
6 Annals of Physics
6 Séminaire Lotharingien de Combinatoire
6 Communications in Contemporary Mathematics
6 Japanese Journal of Mathematics. 3rd Series
5 International Journal of Modern Physics A
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Geometric and Functional Analysis. GAFA
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 St. Petersburg Mathematical Journal
5 Advances in Applied Clifford Algebras
5 Proceedings of the Steklov Institute of Mathematics
5 Science China. Mathematics
5 Algebraic Combinatorics
...and 202 more Serials
all top 5

Cited in 58 Fields

1,139 Nonassociative rings and algebras (17-XX)
891 Topological groups, Lie groups (22-XX)
700 Differential geometry (53-XX)
622 Algebraic geometry (14-XX)
420 Group theory and generalizations (20-XX)
396 Quantum theory (81-XX)
372 Dynamical systems and ergodic theory (37-XX)
329 Global analysis, analysis on manifolds (58-XX)
248 Associative rings and algebras (16-XX)
179 Combinatorics (05-XX)
168 Several complex variables and analytic spaces (32-XX)
165 Number theory (11-XX)
149 Manifolds and cell complexes (57-XX)
138 Abstract harmonic analysis (43-XX)
128 Partial differential equations (35-XX)
128 Mechanics of particles and systems (70-XX)
113 Linear and multilinear algebra; matrix theory (15-XX)
83 Algebraic topology (55-XX)
78 Special functions (33-XX)
75 Category theory; homological algebra (18-XX)
75 Functional analysis (46-XX)
70 Commutative algebra (13-XX)
65 Relativity and gravitational theory (83-XX)
63 \(K\)-theory (19-XX)
47 Operator theory (47-XX)
35 Statistical mechanics, structure of matter (82-XX)
29 Ordinary differential equations (34-XX)
26 Convex and discrete geometry (52-XX)
25 Functions of a complex variable (30-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
16 Numerical analysis (65-XX)
14 Probability theory and stochastic processes (60-XX)
13 Field theory and polynomials (12-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Integral transforms, operational calculus (44-XX)
12 Geometry (51-XX)
10 Computer science (68-XX)
9 Fluid mechanics (76-XX)
8 History and biography (01-XX)
7 Measure and integration (28-XX)
7 Difference and functional equations (39-XX)
7 Systems theory; control (93-XX)
6 Real functions (26-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Optics, electromagnetic theory (78-XX)
4 Integral equations (45-XX)
4 Biology and other natural sciences (92-XX)
3 Mathematical logic and foundations (03-XX)
3 Statistics (62-XX)
3 Operations research, mathematical programming (90-XX)
2 General and overarching topics; collections (00-XX)
2 General algebraic systems (08-XX)
2 Potential theory (31-XX)
2 General topology (54-XX)
2 Mechanics of deformable solids (74-XX)
2 Astronomy and astrophysics (85-XX)
2 Information and communication theory, circuits (94-XX)
1 Approximations and expansions (41-XX)

Citations by Year

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