Edit Profile (opens in new tab) Kostant, Bertram (b. 1928 d. 2017) Co-Author Distance Author ID: kostant.bertram.1 Published as: Kostant, Bertram; Kostant, B. External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 121 Publications since 1955, including 5 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 4 Publications Co-Authors: 42 Co-Authors with 49 Joint Publications 1,727 Co-Co-Authors all top 5 Co-Authors 75 single-authored 10 Kumar, Shrawan 10 Sternberg, Shlomo 7 Brylinski, Ranee Kathryn 6 Vergne, Michèle 5 Joseph, Anthony 5 Wallach, Nolan Russell 4 Gindikin, Simon Grigorevich 4 Guillemin, Victor W. 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 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 Ringel, Claus Michael 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. all top 5 Serials 13 Proceedings of the National Academy of Sciences of the United States of America 6 Advances in Mathematics 6 Bulletin of the American Mathematical Society 5 Notices of the American Mathematical Society 4 Inventiones Mathematicae 4 Transactions of the American Mathematical Society 3 American Journal of Mathematics 3 Selecta Mathematica. New Series 2 Letters in Mathematical Physics 2 Duke Mathematical Journal 2 Nagoya Mathematical Journal 2 Journal of the American Mathematical Society 2 Transformation Groups 2 Annals of Mathematics. Second Series 1 Communications on Pure and Applied Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Topology 1 IMRN. International Mathematics Research Notices 1 Annals of Physics 1 Bulletin of the American Mathematical Society. New Series 1 Representation Theory 1 Moscow Mathematical Journal 1 Journal of Mathematics and Mechanics 1 Lecture Notes in Physics 1 Springer Collected Works in Mathematics all top 5 Fields 67 Topological groups, Lie groups (22-XX) 46 Nonassociative rings and algebras (17-XX) 27 Differential geometry (53-XX) 20 Group theory and generalizations (20-XX) 14 Algebraic geometry (14-XX) 13 History and biography (01-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Quantum theory (81-XX) 8 Abstract harmonic analysis (43-XX) 6 Convex and discrete geometry (52-XX) 6 Manifolds and cell complexes (57-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Mechanics of particles and systems (70-XX) 3 Associative rings and algebras (16-XX) 3 Algebraic topology (55-XX) 2 \(K\)-theory (19-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 4,395 times in 3,577 Documents Cited by ▼ Year ▼ Lie group representations on polynomial rings. Zbl 0124.26802Kostant, Bertram 404 1963 Lie algebra cohomology and the generalized Borel-Weil theorem. Zbl 0134.03501Kostant, Bertram 336 1961 The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Zbl 0099.25603Kostant, Bertram 328 1959 On Whittaker vectors and representation theory. Zbl 0405.22013Kostant, Bertram 256 1978 Quantization and unitary representations. I: Prequantization. Zbl 0223.53028Kostant, Bertram 252 1970 The solution to a generalized Toda lattice and representation theory. Zbl 0433.22008Kostant, Bertram 212 1979 Orbits and representations associated with symmetric spaces. Zbl 0224.22013Kostant, Bertram; Rallis, S. 180 1971 Hamiltonian group actions and dynamical systems of Calogero type. Zbl 0368.58008Kazhdan, David; Kostant, Bertram; Sternberg, S. 159 1978 Graded manifolds, graded Lie theory, and prequantization. Zbl 0358.53024Kostant, Bertram 157 1977 On convexity, the Weyl group and the Iwasawa decomposition. Zbl 0293.22019Kostant, Bertram 144 1973 Differential forms on regular affine algebras. Zbl 0102.27701Hochschild, G.; Kostant, Bertram; Rosenberg, Alex 139 1962 The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0641.17008Kostant, Bertram; Kumar, Shrawan 112 1986 On the existence and irreducibility of certain series of representations. Zbl 0229.22026Kostant, Bertram 111 1969 Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore. Zbl 0233.22005Auslander, Louis; Kostant, Bertram 88 1971 A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups. Zbl 0952.17005Kostant, Bertram 84 1999 Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras. Zbl 0642.17003Kostant, Bertram; Sternberg, Shlomo 81 1987 T-equivariant K-theory of generalized flag varieties. Zbl 0731.55005Kostant, Bertram; Kumar, Shrawan 66 1990 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 0882.17002Kostant, Bertram 53 1997 On the tensor product of a finite and an infinite dimensional representation. Zbl 0355.17010Kostant, Bertram 51 1975 A formula for the multiplicity of a weight. Zbl 0131.27201Kostant, Bertram 51 1959 The set of abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations. Zbl 0896.17002Kostant, Bertram 45 1998 On Macdonald’s \(\eta\)-function formula, the Laplacian and generalized exponents. Zbl 0339.10019Kostant, Bertram 43 1976 Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\). Zbl 0868.14024Kostant, Bertram 41 1996 Symplectic spinors. Zbl 0321.58015Kostant, Bertram 40 1974 Eigenvalues of a Laplacian and commutative Lie subalgebras. Zbl 0134.03504Kostant, Bertram 40 1965 A theorem of Frobenius, a theorem of Amitsur-Levitzki and cohomology theory. Zbl 0087.25702Kostant, Bertram 37 1958 Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037Kostant, Bertram; Wallach, Nolan 36 2006 Lie algebra cohomology and generalized Schubert cells. Zbl 0134.03503Kostant, Bertram 36 1963 Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold. Zbl 0066.16001Kostant, Bertram 33 1955 On the conjugacy of real Cartan subalgebras. I. Zbl 0065.26901Kostant, Bertram 32 1955 The Capelli identity, tube domains, and the generalized Laplace transform. Zbl 0748.22008Kostant, Bertram; Sahi, Siddhartha 31 1991 Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0826.22017Brylinski, Ranee; Kostant, Bertram 29 1994 Quantization and unitary representations. I: Prequantization. Zbl 0249.53016Kostant, Bertram 28 1973 Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra. Zbl 1076.17002Kostant, Bertram 28 2004 Quantization and representations of solvable Lie groups. Zbl 0203.03302Auslander, Louis; Kostant, Bertram 28 1967 Dirac cohomology for the cubic Dirac operator. Zbl 1165.17301Kostant, Bertram 27 2003 On differential geometry and homogeneous spaces. II. Zbl 0075.31603Kostant, Bertram 26 1956 Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038Kostant, Bertram; Wallach, Nolan 25 2006 Minimal representations, geometric quantizations, and unitarity. Zbl 0803.58023Brylinski, Ranee; Kostant, Bertram 25 1994 The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group. Zbl 1260.14058Kostant, Bertram 23 2012 Jordan algebras and Capelli identities. Zbl 0999.17043Kostant, Bertram; Sahi, Siddhartha 21 1993 The Weyl character formula, the half-spin representations, and equal rank subgroups. Zbl 0918.17002Gross, Benedict; Kostant, Bertram; Ramond, Pierre; Sternberg, Shlomo 19 1998 Verma modules and the existence of quasi-invariant differential operators. Zbl 0372.22009Kostant, Bertram 18 1975 Groups over \(\mathbb{Z}\). Zbl 0199.06903Kostant, Bertram 18 1966 The vanishing of scalar curvature and the minimal representation of SO(4,4). Zbl 0739.22012Kostant, Bertram 17 1990 On holonomy and homogeneous spaces. Zbl 0109.14603Kostant, Bertram 17 1957 Orbits, symplectic structures and representation theory. Zbl 0141.02701Kostant, Bertram 17 1966 Root systems for Levi factors and Borel-de Siebenthal theory. Zbl 1226.17008Kostant, Bertram 15 2010 The Euler characteristic of an affine space form is zero. Zbl 0313.57009Kostant, Bertram; Sullivan, D. 14 1975 Lie group representations on polynomial rings. Zbl 0248.20056Kostant, Bertram 14 1963 A formula for the multiplicity of a weight. Zbl 0081.02202Kostant, Bertram 14 1958 Quantization and representation theory. Zbl 0474.58010Kostant, Bertram 14 1979 A Lie algebra generalization of the Amitsur-Levitski theorem. Zbl 0493.17006Kostant, Bertram 13 1981 The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0588.17012Kostant, Bertram; Kumar, Shrawan 12 1986 On the existence and irreducibility of certain series of representations. Zbl 0327.22010Kostant, Bertram 12 1975 Minimal representations of \(E_ 6\), \(E_ 7\), and \(E_ 8\) and the generalized Capelli identity. Zbl 0812.22009Brylinski, Ranee; Kostant, Bertram 12 1994 A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem. Zbl 1162.17304Kostant, Bertram 11 2004 The Coxeter element and the branching law for the finite subgroups of SU(2). Zbl 1139.22008Kostant, Bertram 11 2006 On finite subgroups of \(\text{SU}(2)\), simple Lie algebras, and the McKay correspondence. Zbl 0551.22004Kostant, Bertram 10 1984 Center \(U(\mathfrak n)\), cascade of orthogonal roots, and a construction of Lipsman-Wolf. Zbl 1322.22007Kostant, Bertram 10 2013 On invariant skew-tensors. Zbl 0073.17001Kostant, Bertram 10 1956 A characterization of invariant affine connections. Zbl 0093.35502Kostant, Bertram 10 1960 A generalization of the Bott-Weil theorem and Euler number multiplets of representations. Zbl 0960.22011Kostant, Bertram 10 2000 \(T\)-equivariant \(K\)-theory of generalized flag varieties. Zbl 0624.55007Kostant, Bertram; Kumar, Shrawan 9 1987 On the definition of quantization. Zbl 0326.53047Kostant, Bertram 9 1975 On the structure of certain subalgebras of a universal enveloping algebra. Zbl 0355.17015Kostant, Bertram; Tirao, Juan 9 1976 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 1045.22017Kostant, Bertram 9 2000 A characterization of the classical groups. Zbl 0079.04301Kostant, Bertram 9 1958 The Weyl algebra and the structure of all Lie superalgebras of Riemannian type. Zbl 0994.17003Kostant, Bertram 9 2001 Differential operators on conical Lagrangian manifolds. Zbl 0878.58033Brylinski, Ranee; Kostant, Bertram 8 1994 On orbits associated with symmetric spaces. Zbl 0223.53049Kostant, Bertram; Rallis, Stephen 8 1969 Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0762.22008Brylinski, Ranee; Kostant, Bertram 7 1992 On representations associated with symmetric spaces. Zbl 0223.53050Kostant, Bertram; Rallis, Stephen 7 1969 The variety of all invariant symplectic structures on a homogeneous space and normalizers of isotropy subgroups. Zbl 0813.53033Brylinski, Ranee; Kostant, Bertram 5 1991 Experimental evidence for the occurrence of \(E_8\) in nature and the radii of the Gosset circles. Zbl 1204.22018Kostant, Bertram 5 2010 Symplectic projective orbits. Zbl 0484.22022Kostant, Bertram; Sternberg, Shlomo 5 1982 Lagrangian models of minimal representations of \(E_ 6\), \(E_ 7\) and \(E_ 8\). Zbl 0851.22017Brylinski, Ranee; Kostant, Bertram 5 1995 Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic group. Zbl 1149.14302Kostant, Bertram 5 1997 The graph of the truncated icosahedron and the last letter of Galois. Zbl 1047.52500Kostant, Bertram 4 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 0830.20073Kostant, B. 4 1995 The generalized Cayley map from an algebraic group to its Lie algebra. Zbl 1072.20051Kostant, Bertram; Michor, Peter W. 4 2003 Orbits and quantization theory. Zbl 0233.22006Kostant, Bertram 4 1971 The McKay correspondence, the Coxeter element and representation theory. Zbl 0605.22010Kostant, Bertram 3 1985 Structure of the truncated icosahedron (such as fullerene or viral coatings) and a 60-element conjugacy in \(\text{PSl}(2,11)\). Zbl 0820.20002Kostant, Bertram 3 1994 Immanant inequalities and 0-weight spaces. Zbl 0868.22016Kostant, Bertram 3 1995 Groups and the buckyball. Zbl 0844.20031Chung, Fan R. K.; Kostant, Bertram; Sternberg, Shlomo 3 1994 Minimal coadjoint orbits and symplectic induction. Zbl 1079.53137Kostant, Bertram 3 2005 Fomenko-Mischenko theory, Hessenberg varieties, and polarizations. Zbl 1183.53081Kostant, Bertram 3 2009 Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation. Zbl 1327.78003Kostant, 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 0986.17002Kostant, Bertram 2 2000 A generalization of the Bott-Borel-Weil theorem and Euler multiplets of representations. Zbl 0974.22012Kostant, Bertram 2 2000 On certain unitary representations which arise from a quantization theory. Zbl 0229.20048Kostant, Bertram 2 1970 Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. Zbl 0662.01018Gelfand, Izrail M. 1 1989 The principle of triality and a distinguished unitary representation of SO(4,4). Zbl 0663.22009Kostant, Bertram 1 1988 Douglas’ solution of the Plateau problem. Zbl 0666.49014Guillemin, Victor; Kostant, Bertram; Sternberg, Shlomo 1 1988 On the algebraic set of singular elements in a complex simple Lie algebra. Zbl 1235.22009Kostant, Bertram; Wallach, Nolan 1 2011 Irving Ezra Segal (1918–1998). Zbl 1194.01056Baez, 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 1267.17006Kostant, Bertram; Wallach, Nolan 1 2009 On differential geometry and homogeneous spaces. I. Zbl 0071.37602Kostant, Bertram 1 1956 Differential forms and Lie algebra cohomology for algebraic linear groups. Zbl 0107.02601Hochschild, G.; Kostant, Bertram 1 1962 Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation. Zbl 1327.78003Kostant, Bertram; Wallach, Nolan R. 2 2014 Center \(U(\mathfrak n)\), cascade of orthogonal roots, and a construction of Lipsman-Wolf. Zbl 1322.22007Kostant, Bertram 10 2013 The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group. Zbl 1260.14058Kostant, Bertram 23 2012 On the algebraic set of singular elements in a complex simple Lie algebra. Zbl 1235.22009Kostant, Bertram; Wallach, Nolan 1 2011 Root systems for Levi factors and Borel-de Siebenthal theory. Zbl 1226.17008Kostant, Bertram 15 2010 Experimental evidence for the occurrence of \(E_8\) in nature and the radii of the Gosset circles. Zbl 1204.22018Kostant, Bertram 5 2010 On some exotic finite subgroups of \(E_8\) and Springer’s regular elements of the Weyl group. Zbl 1234.20058Kostant, Bertram 1 2010 Fomenko-Mischenko theory, Hessenberg varieties, and polarizations. Zbl 1183.53081Kostant, Bertram 3 2009 On a theorem of Ranee Brylinski. Zbl 1267.17006Kostant, Bertram; Wallach, Nolan 1 2009 Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037Kostant, Bertram; Wallach, Nolan 36 2006 Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038Kostant, Bertram; Wallach, Nolan 25 2006 The Coxeter element and the branching law for the finite subgroups of SU(2). Zbl 1139.22008Kostant, Bertram 11 2006 Minimal coadjoint orbits and symplectic induction. Zbl 1079.53137Kostant, Bertram 3 2005 Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra. Zbl 1076.17002Kostant, Bertram 28 2004 A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem. Zbl 1162.17304Kostant, Bertram 11 2004 Dirac cohomology for the cubic Dirac operator. Zbl 1165.17301Kostant, Bertram 27 2003 The generalized Cayley map from an algebraic group to its Lie algebra. Zbl 1072.20051Kostant, Bertram; Michor, Peter W. 4 2003 The Weyl algebra and the structure of all Lie superalgebras of Riemannian type. Zbl 0994.17003Kostant, Bertram 9 2001 A generalization of the Bott-Weil theorem and Euler number multiplets of representations. Zbl 0960.22011Kostant, Bertram 10 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 1045.22017Kostant, Bertram 9 2000 On \(\bigwedge {\mathfrak g}\) for a semisimple Lie algebra \({\mathfrak g}\), as an equivariant module over the symmetric algebra \(S({\mathfrak g})\). Zbl 0986.17002Kostant, Bertram 2 2000 A generalization of the Bott-Borel-Weil theorem and Euler multiplets of representations. Zbl 0974.22012Kostant, Bertram 2 2000 A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups. Zbl 0952.17005Kostant, Bertram 84 1999 Irving Ezra Segal (1918–1998). Zbl 1194.01056Baez, 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 0896.17002Kostant, Bertram 45 1998 The Weyl character formula, the half-spin representations, and equal rank subgroups. Zbl 0918.17002Gross, 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 0882.17002Kostant, Bertram 53 1997 Quantum cohomology of the flag manifold as an algebra of rational functions on a unipotent algebraic group. Zbl 1149.14302Kostant, Bertram 5 1997 Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\). Zbl 0868.14024Kostant, Bertram 41 1996 Lagrangian models of minimal representations of \(E_ 6\), \(E_ 7\) and \(E_ 8\). Zbl 0851.22017Brylinski, Ranee; Kostant, Bertram 5 1995 The graph of the truncated icosahedron and the last letter of Galois. Zbl 1047.52500Kostant, Bertram 4 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 0830.20073Kostant, B. 4 1995 Immanant inequalities and 0-weight spaces. Zbl 0868.22016Kostant, Bertram 3 1995 Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0826.22017Brylinski, Ranee; Kostant, Bertram 29 1994 Minimal representations, geometric quantizations, and unitarity. Zbl 0803.58023Brylinski, Ranee; Kostant, Bertram 25 1994 Minimal representations of \(E_ 6\), \(E_ 7\), and \(E_ 8\) and the generalized Capelli identity. Zbl 0812.22009Brylinski, Ranee; Kostant, Bertram 12 1994 Differential operators on conical Lagrangian manifolds. Zbl 0878.58033Brylinski, 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 0820.20002Kostant, Bertram 3 1994 Groups and the buckyball. Zbl 0844.20031Chung, Fan R. K.; Kostant, Bertram; Sternberg, Shlomo 3 1994 Jordan algebras and Capelli identities. Zbl 0999.17043Kostant, Bertram; Sahi, Siddhartha 21 1993 Nilpotent orbits, normality, and Hamiltonian group actions. Zbl 0762.22008Brylinski, Ranee; Kostant, Bertram 7 1992 The Capelli identity, tube domains, and the generalized Laplace transform. Zbl 0748.22008Kostant, Bertram; Sahi, Siddhartha 31 1991 The variety of all invariant symplectic structures on a homogeneous space and normalizers of isotropy subgroups. Zbl 0813.53033Brylinski, Ranee; Kostant, Bertram 5 1991 T-equivariant K-theory of generalized flag varieties. Zbl 0731.55005Kostant, Bertram; Kumar, Shrawan 66 1990 The vanishing of scalar curvature and the minimal representation of SO(4,4). Zbl 0739.22012Kostant, Bertram 17 1990 Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. Zbl 0662.01018Gelfand, Izrail M. 1 1989 The principle of triality and a distinguished unitary representation of SO(4,4). Zbl 0663.22009Kostant, Bertram 1 1988 Douglas’ solution of the Plateau problem. Zbl 0666.49014Guillemin, Victor; Kostant, Bertram; Sternberg, Shlomo 1 1988 Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras. Zbl 0642.17003Kostant, Bertram; Sternberg, Shlomo 81 1987 \(T\)-equivariant \(K\)-theory of generalized flag varieties. Zbl 0624.55007Kostant, Bertram; Kumar, Shrawan 9 1987 The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0641.17008Kostant, Bertram; Kumar, Shrawan 112 1986 The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\). Zbl 0588.17012Kostant, Bertram; Kumar, Shrawan 12 1986 The McKay correspondence, the Coxeter element and representation theory. Zbl 0605.22010Kostant, Bertram 3 1985 On finite subgroups of \(\text{SU}(2)\), simple Lie algebras, and the McKay correspondence. Zbl 0551.22004Kostant, Bertram 10 1984 Symplectic projective orbits. Zbl 0484.22022Kostant, Bertram; Sternberg, Shlomo 5 1982 A Lie algebra generalization of the Amitsur-Levitski theorem. Zbl 0493.17006Kostant, Bertram 13 1981 The solution to a generalized Toda lattice and representation theory. Zbl 0433.22008Kostant, Bertram 212 1979 Quantization and representation theory. Zbl 0474.58010Kostant, Bertram 14 1979 On Whittaker vectors and representation theory. Zbl 0405.22013Kostant, Bertram 256 1978 Hamiltonian group actions and dynamical systems of Calogero type. Zbl 0368.58008Kazhdan, David; Kostant, Bertram; Sternberg, S. 159 1978 Graded manifolds, graded Lie theory, and prequantization. Zbl 0358.53024Kostant, Bertram 157 1977 On Macdonald’s \(\eta\)-function formula, the Laplacian and generalized exponents. Zbl 0339.10019Kostant, Bertram 43 1976 On the structure of certain subalgebras of a universal enveloping algebra. Zbl 0355.17015Kostant, Bertram; Tirao, Juan 9 1976 On the tensor product of a finite and an infinite dimensional representation. Zbl 0355.17010Kostant, Bertram 51 1975 Verma modules and the existence of quasi-invariant differential operators. Zbl 0372.22009Kostant, Bertram 18 1975 The Euler characteristic of an affine space form is zero. Zbl 0313.57009Kostant, Bertram; Sullivan, D. 14 1975 On the existence and irreducibility of certain series of representations. Zbl 0327.22010Kostant, Bertram 12 1975 On the definition of quantization. Zbl 0326.53047Kostant, Bertram 9 1975 Symplectic spinors. Zbl 0321.58015Kostant, Bertram 40 1974 On convexity, the Weyl group and the Iwasawa decomposition. Zbl 0293.22019Kostant, Bertram 144 1973 Quantization and unitary representations. I: Prequantization. Zbl 0249.53016Kostant, Bertram 28 1973 Orbits and representations associated with symmetric spaces. Zbl 0224.22013Kostant, Bertram; Rallis, S. 180 1971 Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore. Zbl 0233.22005Auslander, Louis; Kostant, Bertram 88 1971 Orbits and quantization theory. Zbl 0233.22006Kostant, Bertram 4 1971 Quantization and unitary representations. I: Prequantization. Zbl 0223.53028Kostant, Bertram 252 1970 On certain unitary representations which arise from a quantization theory. Zbl 0229.20048Kostant, Bertram 2 1970 On the existence and irreducibility of certain series of representations. Zbl 0229.22026Kostant, Bertram 111 1969 On orbits associated with symmetric spaces. Zbl 0223.53049Kostant, Bertram; Rallis, Stephen 8 1969 On representations associated with symmetric spaces. Zbl 0223.53050Kostant, Bertram; Rallis, Stephen 7 1969 Quantization and representations of solvable Lie groups. Zbl 0203.03302Auslander, Louis; Kostant, Bertram 28 1967 Groups over \(\mathbb{Z}\). Zbl 0199.06903Kostant, Bertram 18 1966 Orbits, symplectic structures and representation theory. Zbl 0141.02701Kostant, Bertram 17 1966 Eigenvalues of a Laplacian and commutative Lie subalgebras. Zbl 0134.03504Kostant, Bertram 40 1965 Lie group representations on polynomial rings. Zbl 0124.26802Kostant, Bertram 404 1963 Lie algebra cohomology and generalized Schubert cells. Zbl 0134.03503Kostant, Bertram 36 1963 Lie group representations on polynomial rings. Zbl 0248.20056Kostant, Bertram 14 1963 Differential forms on regular affine algebras. Zbl 0102.27701Hochschild, G.; Kostant, Bertram; Rosenberg, Alex 139 1962 Differential forms and Lie algebra cohomology for algebraic linear groups. Zbl 0107.02601Hochschild, G.; Kostant, Bertram 1 1962 Lie algebra cohomology and the generalized Borel-Weil theorem. Zbl 0134.03501Kostant, Bertram 336 1961 A characterization of invariant affine connections. Zbl 0093.35502Kostant, Bertram 10 1960 The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. Zbl 0099.25603Kostant, Bertram 328 1959 A formula for the multiplicity of a weight. Zbl 0131.27201Kostant, Bertram 51 1959 A theorem of Frobenius, a theorem of Amitsur-Levitzki and cohomology theory. Zbl 0087.25702Kostant, Bertram 37 1958 A formula for the multiplicity of a weight. Zbl 0081.02202Kostant, Bertram 14 1958 A characterization of the classical groups. Zbl 0079.04301Kostant, Bertram 9 1958 On holonomy and homogeneous spaces. Zbl 0109.14603Kostant, Bertram 17 1957 On differential geometry and homogeneous spaces. II. Zbl 0075.31603Kostant, Bertram 26 1956 On invariant skew-tensors. Zbl 0073.17001Kostant, Bertram 10 1956 On differential geometry and homogeneous spaces. I. Zbl 0071.37602Kostant, Bertram 1 1956 Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold. Zbl 0066.16001Kostant, Bertram 33 1955 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,034 Authors 50 Panyushev, Dmitri Ivanovich 34 Joseph, Anthony 29 Kostant, Bertram 24 Futorny, Vyacheslav M. 23 Kac, Victor G. 21 Guillemin, Victor W. 21 Kobayashi, Toshiyuki 19 Ratiu, Tudor Stefan 19 Sahi, Siddhartha 18 Papi, Paolo 18 Wallach, Nolan Russell 18 Yakimova, Oksana S. 17 Fehér, László Gy. 16 Huang, Jing-Song 16 Kumar, Shrawan 15 Zhang, Genkai 14 Lepowsky, James 14 Ørsted, Bent 14 Procesi, Claudio 14 Weinstein, Alan David 13 Čap, Andreas 13 Lam, Thomas F. 13 Sternberg, Shlomo 13 Tam, Tin-Yau 12 Bloch, Anthony Michael 12 Damianou, Pantelis Andrea 12 Ginzburg, Victor 12 Möseneder Frajria, Pierluigi 12 Sánchez Valenzuela, Oscar Adolfo 11 Pandžić, Pavle 11 Ramirez, Luis Enrique 11 Shimozono, Mark 10 Bruzzo, Ugo 10 Frenkel, Edward V. 10 Gourevitch, Dmitry 10 Mazorchuk, Volodymyr 10 Rawnsley, John H. 10 Vogan, David Alexander jun. 10 Zainoulline, Kirill 9 Arakawa, Tomoyuki 9 Arnal, Didier 9 Brion, Michel 9 Brylinski, Jean-Luc 9 Chuah, Meng-Kiat 9 Etingof, Pavel Il’ich 9 Evens, Sam 9 Feĭgin, Boris L’vovich 9 Figueroa-O’Farrill, José Miguel 9 Fioresi, Rita 9 Hanany, Amihay 9 Harada, Megumi 9 Harris, Pamela E. 9 Ivashchuk, Vladimir D. 9 Lusztig, George 9 Pusztai, Béla Gábor 9 Schwermer, Joachim 9 Vergne, Michèle 9 Winternitz, Pavel 9 Wolf, Joseph Albert 9 Zhao, Kaiming 8 Aldaya, Victor 8 Berestovskiĭ, Valeriĭ Nikolaevich 8 Cai, Yanan 8 Cellini, Paola 8 Crooks, Peter 8 Frahm, Jan 8 Gekhtman, Mikhaèl I. 8 Hanlon, Phil 8 Harnad, John 8 Helgason, Sigurdur 8 Monterde, Juan 8 Nikonorov, Yurii Gennadyevich 8 Pelayo, Alvaro 8 Rybnikov, Leonid Grigor’evich 8 Santi, Andrea 8 The, Dennis 8 Tuynman, Gijs M. 8 Tymoczko, Julianna S. 8 Valeri, Daniele 7 Adams, Malcolm R. 7 Aizenbud, Avraham 7 Cahen, Benjamin 7 Dong, Chao-Ping 7 Dooley, Anthony Haynes 7 Duval, Christian 7 Fauquant-Millet, Florence 7 Gay-Balmaz, François 7 Gel’fand, Israil’ Moiseevich 7 Gerstenhaber, Murray 7 Gould, Mark D. 7 Guo, Xiangqian 7 Ignatev, Mikhail V. 7 Insko, Erik 7 Ishii, Taku 7 Kirillov, Alexandre Aleksandrovich 7 Kosmann-Schwarzbach, Yvette 7 Lu, Jiang-Hua 7 Manivel, Laurent 7 Masuoka, Akira 7 Matumoto, Hisayosi ...and 2,934 more Authors all top 5 Cited in 317 Serials 220 Journal of Algebra 192 Advances in Mathematics 149 Transactions of the American Mathematical Society 141 Journal of Geometry and Physics 133 Communications in Mathematical Physics 118 Journal of Mathematical Physics 112 Inventiones Mathematicae 108 Transformation Groups 96 Journal of Functional Analysis 85 Duke Mathematical Journal 76 Letters in Mathematical Physics 74 Representation Theory 60 Proceedings of the American Mathematical Society 54 Annales de l’Institut Fourier 52 Journal of Pure and Applied Algebra 51 Compositio Mathematica 51 Mathematische Annalen 49 Mathematische Zeitschrift 48 Differential Geometry and its Applications 47 Communications in Algebra 44 Journal of High Energy Physics 42 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 28 Algebras and Representation Theory 28 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 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 Israel Journal of Mathematics 24 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Nuclear Physics. B 21 Journal of Lie Theory 20 Theoretical and Mathematical Physics 20 Memoirs of the American Mathematical Society 20 Tôhoku Mathematical Journal. Second Series 19 Reports on Mathematical Physics 19 Physica D 19 Journal of Algebraic Combinatorics 18 Bulletin de la Société Mathématique de France 18 Annals of Global Analysis and Geometry 17 Journal of Soviet Mathematics 17 Journal of Physics A: Mathematical and Theoretical 16 Acta Mathematica 16 The Journal of Geometric Analysis 15 Geometriae Dedicata 15 Journal für die Reine und Angewandte Mathematik 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 14 Indagationes Mathematicae. New Series 13 International Journal of Theoretical Physics 13 Reviews in Mathematical Physics 13 Publications Mathématiques 13 Nagoya Mathematical Journal 13 Proceedings of the Japan Academy. Series A 13 Annales de l’Institut Henri Poincaré. Physique Théorique 13 Journal of Mathematical Sciences (New York) 12 Mathematical Notes 12 Acta Applicandae Mathematicae 12 Forum Mathematicum 12 Bulletin des Sciences Mathématiques 11 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 11 Annals of Mathematics. Second Series 11 Journal of the European Mathematical Society (JEMS) 11 Journal of the Institute of Mathematics of Jussieu 11 Journal of Algebra and its Applications 10 Documenta Mathematica 10 Acta Mathematica Sinica. English Series 9 Linear and Multilinear Algebra 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Michigan Mathematical Journal 9 Annales Henri Poincaré 8 Journal of the Mathematical Society of Japan 8 Séminaire Lotharingien de Combinatoire 8 Journal of Nonlinear Mathematical Physics 8 Journal of Noncommutative Geometry 7 Discrete Mathematics 7 Journal of Combinatorial Theory. Series A 7 Pacific Journal of Mathematics 7 Advances in Applied Mathematics 7 Communications in Contemporary Mathematics 7 Frontiers of Mathematics in China 7 Science China. Mathematics 6 Journal of Mathematical Analysis and Applications 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Siberian Mathematical Journal 6 European Journal of Combinatorics 6 \(K\)-Theory 6 Geometric and Functional Analysis. GAFA 6 Annals of Physics 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Advances in Applied Clifford Algebras 6 Japanese Journal of Mathematics. 3rd Series 5 International Journal of Modern Physics A 5 Journal of the London Mathematical Society. Second Series 5 Topology and its Applications 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 217 more Serials all top 5 Cited in 58 Fields 1,233 Nonassociative rings and algebras (17-XX) 940 Topological groups, Lie groups (22-XX) 754 Differential geometry (53-XX) 671 Algebraic geometry (14-XX) 452 Quantum theory (81-XX) 441 Group theory and generalizations (20-XX) 407 Dynamical systems and ergodic theory (37-XX) 355 Global analysis, analysis on manifolds (58-XX) 268 Associative rings and algebras (16-XX) 199 Combinatorics (05-XX) 185 Several complex variables and analytic spaces (32-XX) 179 Number theory (11-XX) 156 Manifolds and cell complexes (57-XX) 144 Abstract harmonic analysis (43-XX) 143 Mechanics of particles and systems (70-XX) 141 Partial differential equations (35-XX) 119 Linear and multilinear algebra; matrix theory (15-XX) 84 Algebraic topology (55-XX) 83 Category theory; homological algebra (18-XX) 82 Special functions (33-XX) 81 Functional analysis (46-XX) 76 Relativity and gravitational theory (83-XX) 74 Commutative algebra (13-XX) 65 \(K\)-theory (19-XX) 54 Operator theory (47-XX) 37 Statistical mechanics, structure of matter (82-XX) 31 Ordinary differential equations (34-XX) 30 Functions of a complex variable (30-XX) 29 Convex and discrete geometry (52-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 Probability theory and stochastic processes (60-XX) 16 Geometry (51-XX) 16 Numerical analysis (65-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Field theory and polynomials (12-XX) 12 Integral transforms, operational calculus (44-XX) 10 Computer science (68-XX) 10 Fluid mechanics (76-XX) 9 Difference and functional equations (39-XX) 8 History and biography (01-XX) 8 Measure and integration (28-XX) 8 Systems theory; control (93-XX) 7 Real functions (26-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Operations research, mathematical programming (90-XX) 5 Optics, electromagnetic theory (78-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 Mathematical logic and foundations (03-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 2 General algebraic systems (08-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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