Bertram Kostant - Publications

Affiliations: 
Massachusetts Institute of Technology, Cambridge, MA, United States 

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Year Citation  Score
2012 Kostant B. The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group Moscow Mathematical Journal. 12: 605-620. DOI: 10.17323/1609-4514-2012-12-3-605-620  0.354
2010 Kostant B. On some exotic finite subgroups of E8 and Springer’s regular elements of the Weyl group Transformation Groups. 15: 909-919. DOI: 10.1007/S00031-010-9099-0  0.313
2010 Kostant B. Experimental evidence for the occurrence of E8 in nature and the radii of the Gosset circles Selecta Mathematica-New Series. 16: 419-438. DOI: 10.1007/S00029-010-0023-1  0.307
2009 Kostant B. Fomenko–Mischenko Theory, Hessenberg Varieties, and Polarizations Letters in Mathematical Physics. 90: 253-285. DOI: 10.1007/S11005-009-0344-1  0.372
2007 Kostant B. On the centralizer of K in U(g) Journal of Algebra. 313: 252-267. DOI: 10.1016/J.Jalgebra.2006.11.041  0.369
2004 Kostant B. Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra Inventiones Mathematicae. 158: 181-226. DOI: 10.1007/S00222-004-0370-7  0.416
2001 Kostant B. The Weyl algebra and the structure of all Lie superalgebras of Riemannian type Transformation Groups. 6: 215-226. DOI: 10.1007/Bf01263090  0.338
2000 Kostant B. On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of (2,ℝ) Representation Theory of the American Mathematical Society. 4: 181-224. DOI: 10.1090/S1088-4165-00-00096-0  0.346
2000 Kostant B. A Generalization of the Bott–Borel–Weil Theorem and Euler Number Multiplets of Representations Letters in Mathematical Physics. 52: 61-78. DOI: 10.1023/A:1007653819322  0.385
1999 Kostant B. A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups Duke Mathematical Journal. 100: 447-501. DOI: 10.1215/S0012-7094-99-10016-0  0.325
1998 Gross B, Kostant B, Ramond P, Sternberg S. The Weyl character formula, the half-spin representations, and equal rank subgroups. Proceedings of the National Academy of Sciences of the United States of America. 95: 8441-2. PMID 9671696 DOI: 10.1073/Pnas.95.15.8441  0.384
1998 Kostant B. The set of Abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations International Mathematics Research Notices. 1998: 225-252. DOI: 10.1155/S107379289800018X  0.348
1997 Kostant B. Clifford Algebra Analogue of the Hopf–Koszul–Samelson Theorem, theρ-DecompositionC(g)=End Vρ⊗C(P), and the g-Module Structure of ∧g Advances in Mathematics. 125: 275-350. DOI: 10.1006/Aima.1997.1608  0.388
1995 Kostant B. Immanant inequalities and 0-weight spaces Journal of the American Mathematical Society. 8: 181-186. DOI: 10.1090/S0894-0347-1995-1261291-7  0.313
1995 Kostant B. Structure of the truncated icosahedron (e.g. fullerene or C60, viral coatings) and a 60-element conjugacy class inPSl(2, 11) Selecta Mathematica-New Series. 1: 163-195. DOI: 10.1007/Bf01614076  0.307
1994 Kostant B. Structure of the truncated icosahedron (such as fullerene or viral coatings) and a 60-element conjugacy class in PSl(2, 11). Proceedings of the National Academy of Sciences of the United States of America. 91: 11714-7. PMID 11607498 DOI: 10.1073/Pnas.91.24.11714  0.397
1994 Brylinski R, Kostant B. Minimal representations, geometric quantization, and unitarity. Proceedings of the National Academy of Sciences of the United States of America. 91: 6026-9. PMID 11607478 DOI: 10.1073/Pnas.91.13.6026  0.456
1994 Brylinski R, Kostant B. Minimal representations of E6, E7, and E8 and the generalized Capelli identity. Proceedings of the National Academy of Sciences of the United States of America. 91: 2469-72. PMID 11607467 DOI: 10.1073/Pnas.91.7.2469  0.31
1994 Brylinski R, Kostant B. Nilpotent orbits, normality and Hamiltonian group actions Journal of the American Mathematical Society. 7: 269-298. DOI: 10.1090/S0894-0347-1994-1239505-8  0.477
1993 Kostant B, Sahi S. Jordan algebras and Capelli identities Inventiones Mathematicae. 112: 657-664. DOI: 10.1007/Bf01232451  0.407
1992 Brylinski R, Kostant B. Nilpotent orbits, normality and Hamiltonian group actions Bulletin of the American Mathematical Society. 26: 269-275. DOI: 10.1090/S0273-0979-1992-00271-9  0.343
1991 Kostant B, Sahi S. The Capelli identity, tube domains, and the generalized Laplace transform Advances in Mathematics. 87: 71-92. DOI: 10.1016/0001-8708(91)90062-C  0.349
1990 Kostant B, Kumar S. $T$-equivariant $K$-theory of generalized flag varieties Journal of Differential Geometry. 32: 549-603. DOI: 10.4310/Jdg/1214445320  0.414
1987 Kostant B, Kumar S. T-equivariant K-theory of generalized flag varieties. Proceedings of the National Academy of Sciences of the United States of America. 84: 4351-4. PMID 16593856 DOI: 10.1073/Pnas.84.13.4351  0.412
1987 Kostant B, Sternberg S. Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras Annals of Physics. 176: 49-113. DOI: 10.1016/0003-4916(87)90178-3  0.411
1986 Kostant B, Kumar S. The nil Hecke ring and cohomology of G/P for a Kac-Moody group G. Proceedings of the National Academy of Sciences of the United States of America. 83: 1543-5. PMID 16593661 DOI: 10.1073/Pnas.83.6.1543  0.43
1986 Kostant B, Kumar S. The nil Hecke ring and cohomology of GP for a Kac-Moody group G Advances in Mathematics. 62: 187-237. DOI: 10.1016/0001-8708(86)90101-5  0.37
1981 Kostant B. A Lie algebra generalization of the Amitsur-Levitski theorem Advances in Mathematics. 40: 155-175. DOI: 10.1016/0001-8708(81)90061-X  0.353
1979 Kostant B. The solution to a generalized Toda lattice and representation theory Advances in Mathematics. 34: 195-338. DOI: 10.1016/0001-8708(79)90057-4  0.305
1978 Kostant B. On Whittaker vectors and representation theory Inventiones Mathematicae. 48: 101-184. DOI: 10.1007/Bf01390249  0.304
1976 Kostant B, Tirao J. On the structure of certain subalgebras of a universal enveloping algebra Transactions of the American Mathematical Society. 218: 133-154. DOI: 10.1090/S0002-9947-1976-0404367-0  0.483
1975 Kostant B, Sullivan D. The Euler characteristic of an affine space form is zero Bulletin of the American Mathematical Society. 81: 937-938. DOI: 10.1090/S0002-9904-1975-13896-1  0.31
1975 Kostant B. On the tensor product of a finite and an infinite dimensional representation Journal of Functional Analysis. 20: 257-285. DOI: 10.1016/0022-1236(75)90035-X  0.358
1973 Kostant B. On convexity, the Weyl group and the Iwasawa decomposition Annales Scientifiques De L Ecole Normale Superieure. 6: 413-455. DOI: 10.24033/Asens.1254  0.362
1971 Kostant B, Rallis S. Orbits and Representations Associated with Symmetric Spaces American Journal of Mathematics. 93: 753. DOI: 10.2307/2373470  0.344
1971 Auslander L, Kostant B. Polarization and unitary representations of solvable Lie groups Inventiones Mathematicae. 14: 255-354. DOI: 10.1007/Bf01389744  0.352
1969 Kostant B, Rallis S. On representations associated with symmetric spaces Bulletin of the American Mathematical Society. 75: 884-888. DOI: 10.1090/S0002-9904-1969-12339-6  0.345
1969 Kostant B, Rallis S. On orbits associated with symmetric spaces Bulletin of the American Mathematical Society. 75: 879-883. DOI: 10.1090/S0002-9904-1969-12337-2  0.301
1969 Kostant B. On the existence and irreducibility of certain series of representations Bulletin of the American Mathematical Society. 75: 627-642. DOI: 10.1090/S0002-9904-1969-12235-4  0.381
1967 Auslander L, Kostant B. Quantization and representations of solvable Lie groups Bulletin of the American Mathematical Society. 73: 692-695. DOI: 10.1090/S0002-9904-1967-11829-9  0.415
1965 Kostant B. Eigenvalues of a Laplacian and commutative Lie subalgebras Topology. 3: 147-159. DOI: 10.1016/0040-9383(65)90073-X  0.454
1963 Kostant B. Lie Group Representations on Polynomial Rings American Journal of Mathematics. 85: 327. DOI: 10.2307/2373130  0.407
1963 Kostant B. Lie Algebra Cohomology and Generalized Schubert Cells Annals of Mathematics. 77: 396-468. DOI: 10.1007/B94535_18  0.338
1963 Kostant B. Lie Group Representations on Polynomial Rings Bulletin of the American Mathematical Society. 69: 518-526. DOI: 10.1007/B94535_16  0.44
1962 Hochschild GP, Kostant B. Differential Forms And Lie Algebra Cohomology For Algebraic Linear Groups Illinois Journal of Mathematics. 6: 264-281. DOI: 10.1007/B94535_15  0.457
1962 Hochschild G, Kostant B, Rosenberg A. Differential Forms on Regular Affine Algebras Transactions of the American Mathematical Society. 102: 383-408. DOI: 10.1007/B94535_14  0.396
1961 Kostant B. Lie Algebra Cohomology and the Generalized Borel-Weil Theorem Annals of Mathematics. 74: 206-264. DOI: 10.1007/B94535_13  0.369
1960 Kostant B. A characterization of invariant affine connections Nagoya Mathematical Journal. 16: 35-50. DOI: 10.1007/B94535_12  0.379
1959 Kostant B. The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group American Journal of Mathematics. 81: 130-189. DOI: 10.1007/B94535_11  0.417
1958 Kostant B. A characterization of the classical groups Duke Mathematical Journal. 25: 92-108. DOI: 10.1007/B94535_9  0.333
1958 Kostant B. A Theorem of Frobenius, a Theorem of Amitsur-Levitski and Cohomology Theory Indiana University Mathematics Journal. 7: 64-91. DOI: 10.1007/B94535_8  0.422
1957 Kostant B. On Holonomy and Homogeneous Spaces Nagoya Mathematical Journal. 12: 40-63. DOI: 10.1007/B94535_7  0.412
1956 Kostant B. ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. I. Proceedings of the National Academy of Sciences of the United States of America. 42: 258-61. PMID 16589862 DOI: 10.1073/Pnas.42.5.258  0.328
1955 Kostant B. ON THE CONJUGACY OF REAL CARTAN SUBALGEBRAS. I. Proceedings of the National Academy of Sciences of the United States of America. 41: 967-70. PMID 16589783 DOI: 10.1073/Pnas.41.11.967  0.382
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