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Kostant, Bertram

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Author ID: kostant.bertram.1 Recent zbMATH articles by "Kostant, Bertram"
Published as: Kostant, Bertram; Kostant, B.
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Documents Indexed: 120 Publications since 1955, including 4 Books
Biographic References: 4 Publications

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 3,841 times in 3,148 Documents Cited by Year
Lie group representations on polynomial rings. Zbl 0124.26802
Kostant, Bertram
361
1963
Lie algebra cohomology and the generalized Borel-Weil theorem. Zbl 0134.03501
Kostant, Bertram
301
1961
The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Zbl 0099.25603
Kostant, Bertram
283
1959
On Whittaker vectors and representation theory. Zbl 0405.22013
Kostant, Bertram
207
1978
Quantization and unitary representations. I: Prequantization. Zbl 0223.53028
Kostant, Bertram
197
1970
The solution to a generalized Toda lattice and representation theory. Zbl 0433.22008
Kostant, Bertram
188
1979
Orbits and representations associated with symmetric spaces. Zbl 0224.22013
Kostant, Bertram; Rallis, S.
158
1971
Graded manifolds, graded Lie theory, and prequantization. Zbl 0358.53024
Kostant, Bertram
144
1977
Hamiltonian group actions and dynamical systems of Calogero type. Zbl 0368.58008
Kazhdan, David; Kostant, Bertram; Sternberg, S.
144
1978
Differential forms on regular affine algebras. Zbl 0102.27701
Hochschild, G.; Kostant, Bertram; Rosenberg, Alex
127
1962
On convexity, the Weyl group and the Iwasawa decomposition. Zbl 0293.22019
Kostant, Bertram
121
1973
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0641.17008
Kostant, Bertram; Kumar, Shrawan
102
1986
On the existence and irreducibility of certain series of representations. Zbl 0229.22026
Kostant, Bertram
99
1969
Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore. Zbl 0233.22005
Auslander, Louis; Kostant, Bertram
82
1971
Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras. Zbl 0642.17003
Kostant, Bertram; Sternberg, Shlomo
78
1987
A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups. Zbl 0952.17005
Kostant, Bertram
74
1999
T-equivariant K-theory of generalized flag varieties. Zbl 0731.55005
Kostant, Bertram; Kumar, Shrawan
57
1990
A formula for the multiplicity of a weight. Zbl 0131.27201
Kostant, Bertram
49
1959
On the tensor product of a finite and an infinite dimensional representation. Zbl 0355.17010
Kostant, Bertram
49
1975
The set of abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations. Zbl 0896.17002
Kostant, Bertram
41
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
39
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
36
1976
Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\). Zbl 0868.14024
Kostant, Bertram
35
1996
Lie algebra cohomology and generalized Schubert cells. Zbl 0134.03503
Kostant, Bertram
35
1963
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
34
2006
A theorem of Frobenius, a theorem of Amitsur-Levitzki and cohomology theory. Zbl 0087.25702
Kostant, Bertram
32
1958
Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold. Zbl 0066.16001
Kostant, Bertram
31
1955
Symplectic spinors. Zbl 0321.58015
Kostant, Bertram
31
1974
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
25
1994
The Capelli identity, tube domains, and the generalized Laplace transform. Zbl 0748.22008
Kostant, Bertram; Sahi, Siddhartha
23
1991
Minimal representations, geometric quantizations, and unitarity. Zbl 0803.58023
Brylinski, Ranee; Kostant, Bertram
23
1994
On differential geometry and homogeneous spaces. II. Zbl 0075.31603
Kostant, Bertram
23
1956
Quantization and representations of solvable Lie groups. Zbl 0203.03302
Auslander, Louis; Kostant, Bertram
22
1967
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
22
2006
Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra. Zbl 1076.17002
Kostant, Bertram
22
2004
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
Dirac cohomology for the cubic Dirac operator. Zbl 1165.17301
Kostant, Bertram
19
2003
Groups over \(\mathbb{Z}\). Zbl 0199.06903
Kostant, Bertram
17
1966
Jordan algebras and Capelli identities. Zbl 0999.17043
Kostant, Bertram; Sahi, Siddhartha
17
1993
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
17
2012
The vanishing of scalar curvature and the minimal representation of SO(4,4). Zbl 0739.22012
Kostant, Bertram
16
1990
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
15
1966
On holonomy and homogeneous spaces. Zbl 0109.14603
Kostant, Bertram
14
1957
The Euler characteristic of an affine space form is zero. Zbl 0313.57009
Kostant, Bertram; Sullivan, D.
14
1975
Minimal representations of \(E_ 6\), \(E_ 7\), and \(E_ 8\) and the generalized Capelli identity. Zbl 0812.22009
Brylinski, Ranee; Kostant, Bertram
12
1994
A formula for the multiplicity of a weight. Zbl 0081.02202
Kostant, Bertram
12
1958
On the existence and irreducibility of certain series of representations. Zbl 0327.22010
Kostant, Bertram
12
1975
Root systems for Levi factors and Borel-de Siebenthal theory. Zbl 1226.17008
Kostant, Bertram
12
2010
Quantization and representation theory. Zbl 0474.58010
Kostant, Bertram
11
1979
The Coxeter element and the branching law for the finite subgroups of SU(2). Zbl 1139.22008
Kostant, Bertram
11
2006
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 invariant skew-tensors. Zbl 0073.17001
Kostant, Bertram
10
1956
A generalization of the Bott-Weil theorem and Euler number multiplets of representations. Zbl 0960.22011
Kostant, Bertram
9
2000
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0588.17012
Kostant, Bertram; Kumar, Shrawan
9
1986
A characterization of invariant affine connections. Zbl 0093.35502
Kostant, Bertram
9
1960
On the structure of certain subalgebras of a universal enveloping algebra. Zbl 0355.17015
Kostant, Bertram; Tirao, Juan
9
1976
A Lie algebra generalization of the Amitsur-Levitski theorem. Zbl 0493.17006
Kostant, Bertram
9
1981
On finite subgroups of \(\text{SU}(2)\), simple Lie algebras, and the McKay correspondence. Zbl 0551.22004
Kostant, Bertram
9
1984
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
A characterization of the classical groups. Zbl 0079.04301
Kostant, Bertram
8
1958
On orbits associated with symmetric spaces. Zbl 0223.53049
Kostant, Bertram; Rallis, Stephen
8
1969
Lie group representations on polynomial rings. Zbl 0248.20056
Kostant, Bertram
8
1963
On the definition of quantization. Zbl 0326.53047
Kostant, Bertram
8
1975
\(T\)-equivariant \(K\)-theory of generalized flag varieties. Zbl 0624.55007
Kostant, Bertram; Kumar, Shrawan
8
1987
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
Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic group. Zbl 1149.14302
Kostant, Bertram
5
1997
Center \(U(\mathfrak n)\), cascade of orthogonal roots, and a construction of Lipsman-Wolf. Zbl 1322.22007
Kostant, Bertram
5
2013
Lagrangian models of minimal representations of \(E_ 6\), \(E_ 7\) and \(E_ 8\). Zbl 0851.22017
Brylinski, Ranee; Kostant, Bertram
5
1995
Experimental evidence for the occurrence of \(E_8\) in nature and the radii of the Gosset circles. Zbl 1204.22018
Kostant, Bertram
5
2010
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
Symplectic projective orbits. Zbl 0484.22022
Kostant, Bertram; Sternberg, Shlomo
4
1982
The variety of all invariant symplectic structures on a homogeneous space and normalizers of isotropy subgroups. Zbl 0813.53033
Brylinski, Ranee; Kostant, Bertram
3
1991
Immanant inequalities and 0-weight spaces. Zbl 0868.22016
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
Orbits and quantization theory. Zbl 0233.22006
Kostant, Bertram
3
1971
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
2
1994
Groups and the buckyball. Zbl 0844.20031
Chung, Fan R. K.; Kostant, Bertram; Sternberg, Shlomo
2
1994
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
The graph of the truncated icosahedron and the last letter of Galois. Zbl 1047.52500
Kostant, Bertram
2
1995
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
On the algebraic set of singular elements in a complex simple Lie algebra. Zbl 1235.22009
Kostant, Bertram; Wallach, Nolan
1
2011
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 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
On certain unitary representations which arise from a quantization theory. Zbl 0229.20048
Kostant, Bertram
1
1970
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
On a theorem of Ranee Brylinski. Zbl 1267.17006
Kostant, Bertram; Wallach, Nolan
1
2009
The McKay correspondence, the Coxeter element and representation theory. Zbl 0605.22010
Kostant, Bertram
1
1985
The principle of triality and a distinguished unitary representation of SO(4,4). Zbl 0663.22009
Kostant, Bertram
1
1988
Douglas’ solution of the Plateau problem. Zbl 0666.49014
Guillemin, Victor; Kostant, Bertram; Sternberg, Shlomo
1
1988
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
5
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
17
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
12
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
34
2006
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
22
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
22
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
19
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 cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups. Zbl 0952.17005
Kostant, Bertram
74
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
41
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
39
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
35
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
2
1995
Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0826.22017
Brylinski, Ranee; Kostant, Bertram
25
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
2
1994
Groups and the buckyball. Zbl 0844.20031
Chung, Fan R. K.; Kostant, Bertram; Sternberg, Shlomo
2
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
23
1991
The variety of all invariant symplectic structures on a homogeneous space and normalizers of isotropy subgroups. Zbl 0813.53033
Brylinski, Ranee; Kostant, Bertram
3
1991
T-equivariant K-theory of generalized flag varieties. Zbl 0731.55005
Kostant, Bertram; Kumar, Shrawan
57
1990
The vanishing of scalar curvature and the minimal representation of SO(4,4). Zbl 0739.22012
Kostant, Bertram
16
1990
The principle of triality and a distinguished unitary representation of SO(4,4). Zbl 0663.22009
Kostant, Bertram
1
1988
Douglas’ solution of the Plateau problem. Zbl 0666.49014
Guillemin, Victor; Kostant, Bertram; Sternberg, Shlomo
1
1988
Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras. Zbl 0642.17003
Kostant, Bertram; Sternberg, Shlomo
78
1987
\(T\)-equivariant \(K\)-theory of generalized flag varieties. Zbl 0624.55007
Kostant, Bertram; Kumar, Shrawan
8
1987
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0641.17008
Kostant, Bertram; Kumar, Shrawan
102
1986
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0588.17012
Kostant, Bertram; Kumar, Shrawan
9
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
9
1984
Symplectic projective orbits. Zbl 0484.22022
Kostant, Bertram; Sternberg, Shlomo
4
1982
A Lie algebra generalization of the Amitsur-Levitski theorem. Zbl 0493.17006
Kostant, Bertram
9
1981
The solution to a generalized Toda lattice and representation theory. Zbl 0433.22008
Kostant, Bertram
188
1979
Quantization and representation theory. Zbl 0474.58010
Kostant, Bertram
11
1979
On Whittaker vectors and representation theory. Zbl 0405.22013
Kostant, Bertram
207
1978
Hamiltonian group actions and dynamical systems of Calogero type. Zbl 0368.58008
Kazhdan, David; Kostant, Bertram; Sternberg, S.
144
1978
Graded manifolds, graded Lie theory, and prequantization. Zbl 0358.53024
Kostant, Bertram
144
1977
On Macdonald’s \(\eta\)-function formula, the Laplacian and generalized exponents. Zbl 0339.10019
Kostant, Bertram
36
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
49
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
12
1975
On the definition of quantization. Zbl 0326.53047
Kostant, Bertram
8
1975
Symplectic spinors. Zbl 0321.58015
Kostant, Bertram
31
1974
On convexity, the Weyl group and the Iwasawa decomposition. Zbl 0293.22019
Kostant, Bertram
121
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.
158
1971
Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore. Zbl 0233.22005
Auslander, Louis; Kostant, Bertram
82
1971
Orbits and quantization theory. Zbl 0233.22006
Kostant, Bertram
3
1971
Quantization and unitary representations. I: Prequantization. Zbl 0223.53028
Kostant, Bertram
197
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
99
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
22
1967
Groups over \(\mathbb{Z}\). Zbl 0199.06903
Kostant, Bertram
17
1966
Orbits, symplectic structures and representation theory. Zbl 0141.02701
Kostant, Bertram
15
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
361
1963
Lie algebra cohomology and generalized Schubert cells. Zbl 0134.03503
Kostant, Bertram
35
1963
Lie group representations on polynomial rings. Zbl 0248.20056
Kostant, Bertram
8
1963
Differential forms on regular affine algebras. Zbl 0102.27701
Hochschild, G.; Kostant, Bertram; Rosenberg, Alex
127
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
301
1961
A characterization of invariant affine connections. Zbl 0093.35502
Kostant, Bertram
9
1960
The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Zbl 0099.25603
Kostant, Bertram
283
1959
A formula for the multiplicity of a weight. Zbl 0131.27201
Kostant, Bertram
49
1959
A theorem of Frobenius, a theorem of Amitsur-Levitzki and cohomology theory. Zbl 0087.25702
Kostant, Bertram
32
1958
A formula for the multiplicity of a weight. Zbl 0081.02202
Kostant, Bertram
12
1958
A characterization of the classical groups. Zbl 0079.04301
Kostant, Bertram
8
1958
On holonomy and homogeneous spaces. Zbl 0109.14603
Kostant, Bertram
14
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
31
1955
On the conjugacy of real Cartan subalgebras. I. Zbl 0065.26901
Kostant, Bertram
30
1955
all top 5

Cited by 2,616 Authors

45 Panyushev, Dmitri Ivanovich
34 Joseph, Anthony
28 Kostant, Bertram
21 Guillemin, Victor W.
20 Futorny, Vyacheslav M.
20 Kac, Victor G.
20 Kobayashi, Toshiyuki
18 Papi, Paolo
18 Sahi, Siddhartha
17 Wallach, Nolan Russell
16 Ratiu, Tudor Stefan
15 Huang, Jing-Song
15 Kumar, Shrawan
14 Lepowsky, James
14 Yakimova, Oksana S.
13 Čap, Andreas
13 Ginzburg, Victor
13 Lam, Thomas F.
13 Ørsted, Bent
13 Sánchez Valenzuela, Oscar Adolfo
13 Sternberg, Shlomo
13 Weinstein, Alan David
12 Möseneder Frajria, Pierluigi
12 Tam, Tin-Yau
11 Bloch, Anthony M.
11 Damianou, Pantelis Andrea
11 Procesi, Claudio
11 Shimozono, Mark
11 Zhang, Genkai
10 Fehér, László Gy.
10 Gourevitch, Dmitry
10 Pandžić, Pavle
10 Ramirez, Luis Enrique
10 Rawnsley, John H.
10 Vogan, David Alexander jun.
9 Brion, Michel
9 Bruzzo, Ugo
9 Brylinski, Jean-Luc
9 Evens, Sam
9 Frenkel, Edward V.
9 Harada, Megumi
9 Ivashchuk, Vladimir D.
9 Lusztig, George
9 Monterde, Juan
9 Pusztai, Béla Gábor
9 Schwermer, Joachim
9 Vergne, Michèle
9 Winternitz, Pavel
9 Zainoulline, Kirill
8 Arakawa, Tomoyuki
8 Arnal, Didier
8 Berestovskiĭ, Valeriĭ Nikolaevich
8 Cellini, Paola
8 Chuah, Meng-Kiat
8 Dooley, Anthony Haynes
8 Etingof, Pavel Il’ich
8 Feĭgin, Boris L’vovich
8 Figueroa-O’Farrill, José Miguel
8 Hanlon, Phil
8 Harnad, John
8 Helgason, Sigurdur
8 Mazorchuk, Volodymyr
8 Tuynman, Gijs M.
8 Wolf, Joseph Albert
7 Adams, Malcolm R.
7 Aizenbud, Avraham
7 Aldaya, Victor
7 Fauquant-Millet, Florence
7 Fioresi, Rita
7 Gel’fand, Israil’ Moiseevich
7 Gerstenhaber, Murray
7 Gould, Mark D.
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 Pukánszky, Lajos
7 Rietsch, Konstanze
7 Rybnikov, Leonid Grigor’evich
7 Širola, Boris
7 Śniatycki, Jędrzej
7 Soucek, Vladimir
7 The, Dennis
7 Tymoczko, Julianna S.
7 Valeri, Daniele
7 Williams, Floyd L.
7 Zhu, Chen-Bo
6 Agricola, Ilka
6 Barbasch, Dan M.
6 Berceanu, Stefan
6 Borho, Walter
6 Branson, Thomas Patrick
6 Cai, Yanan
6 Crooks, Peter
...and 2,516 more Authors
all top 5

Cited in 275 Serials

202 Journal of Algebra
178 Advances in Mathematics
147 Transactions of the American Mathematical Society
122 Journal of Geometry and Physics
118 Communications in Mathematical Physics
118 Journal of Mathematical Physics
109 Inventiones Mathematicae
96 Transformation Groups
92 Journal of Functional Analysis
84 Duke Mathematical Journal
74 Letters in Mathematical Physics
63 Representation Theory
59 Proceedings of the American Mathematical Society
50 Mathematische Annalen
49 Journal of Pure and Applied Algebra
47 Annales de l’Institut Fourier
46 Compositio Mathematica
45 Mathematische Zeitschrift
45 Differential Geometry and its Applications
41 Communications in Algebra
38 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
38 Selecta Mathematica. New Series
35 Functional Analysis and its Applications
35 Linear Algebra and its Applications
30 Journal of High Energy Physics
28 Bulletin of the American Mathematical Society
26 Bulletin of the American Mathematical Society. New Series
25 Manuscripta Mathematica
25 Journal of the American Mathematical Society
23 Israel Journal of Mathematics
23 Algebras and Representation Theory
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
20 Tohoku Mathematical Journal. Second Series
19 Reports on Mathematical Physics
18 Nuclear Physics. B
18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
17 Theoretical and Mathematical Physics
17 Journal of Soviet Mathematics
17 Journal of Algebraic Combinatorics
16 Acta Mathematica
16 Bulletin de la Société Mathématique de France
16 Memoirs of the American Mathematical Society
15 Annals of Global Analysis and Geometry
15 International Journal of Geometric Methods in Modern Physics
13 International Journal of Theoretical Physics
13 Geometriae Dedicata
13 Publications Mathématiques
13 Journal für die Reine und Angewandte Mathematik
13 Proceedings of the Japan Academy. Series A
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Annales de l’Institut Henri Poincaré. Physique Théorique
13 Journal of Mathematical Sciences (New York)
12 Acta Applicandae Mathematicae
12 The Journal of Geometric Analysis
12 Bulletin des Sciences Mathématiques
11 Mathematical Notes
11 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
11 Indagationes Mathematicae. New Series
10 Reviews in Mathematical Physics
10 Nagoya Mathematical Journal
10 Physica D
10 International Journal of Mathematics
10 Journal of Lie Theory
10 Journal of the European Mathematical Society (JEMS)
10 Journal of the Institute of Mathematics of Jussieu
9 Forum Mathematicum
9 Annals of Mathematics. Second Series
9 Acta Mathematica Sinica. English Series
9 Journal of Algebra and its Applications
9 Journal of Physics A: Mathematical and Theoretical
8 Journal of Nonlinear Mathematical Physics
7 Discrete Mathematics
7 Linear and Multilinear Algebra
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal of Combinatorial Theory. Series A
7 Journal of the Mathematical Society of Japan
7 Michigan Mathematical Journal
7 Advances in Applied Mathematics
7 Documenta Mathematica
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 Japanese Journal of Mathematics. 3rd Series
5 International Journal of Modern Physics A
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Séminaire Lotharingien de Combinatoire
5 Communications in Contemporary Mathematics
5 Proceedings of the Steklov Institute of Mathematics
5 Frontiers of Mathematics in China
5 Science China. Mathematics
5 Algebraic Combinatorics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Ukrainian Mathematical Journal
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Kodai Mathematical Journal
4 Systems & Control Letters
...and 175 more Serials
all top 5

Cited in 58 Fields

1,071 Nonassociative rings and algebras (17-XX)
851 Topological groups, Lie groups (22-XX)
666 Differential geometry (53-XX)
577 Algebraic geometry (14-XX)
393 Group theory and generalizations (20-XX)
381 Quantum theory (81-XX)
355 Dynamical systems and ergodic theory (37-XX)
321 Global analysis, analysis on manifolds (58-XX)
231 Associative rings and algebras (16-XX)
161 Combinatorics (05-XX)
156 Several complex variables and analytic spaces (32-XX)
152 Number theory (11-XX)
142 Manifolds and cell complexes (57-XX)
133 Abstract harmonic analysis (43-XX)
124 Partial differential equations (35-XX)
124 Mechanics of particles and systems (70-XX)
106 Linear and multilinear algebra; matrix theory (15-XX)
78 Algebraic topology (55-XX)
74 Special functions (33-XX)
73 Category theory; homological algebra (18-XX)
72 Functional analysis (46-XX)
65 Relativity and gravitational theory (83-XX)
64 Commutative algebra (13-XX)
59 \(K\)-theory (19-XX)
45 Operator theory (47-XX)
35 Statistical mechanics, structure of matter (82-XX)
26 Ordinary differential equations (34-XX)
25 Convex and discrete geometry (52-XX)
24 Functions of a complex variable (30-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
14 Numerical analysis (65-XX)
13 Field theory and polynomials (12-XX)
13 Probability theory and stochastic processes (60-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
11 Integral transforms, operational calculus (44-XX)
11 Geometry (51-XX)
9 Computer science (68-XX)
8 History and biography (01-XX)
8 Fluid mechanics (76-XX)
7 Measure and integration (28-XX)
7 Difference and functional equations (39-XX)
6 Real functions (26-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Systems theory; control (93-XX)
5 Optics, electromagnetic theory (78-XX)
4 Integral equations (45-XX)
3 Mathematical logic and foundations (03-XX)
3 Statistics (62-XX)
3 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-XX)
2 General algebraic systems (08-XX)
2 Potential theory (31-XX)
2 Approximations and expansions (41-XX)
2 General topology (54-XX)
2 Mechanics of deformable solids (74-XX)
2 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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