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fellows of the
American Mathematical Society. In the last year of his life, Kostant traveled to Rio de Janeiro for the Colloquium on Group Theoretical Methods in Physics, where he received the prestigious Wigner Medal, “for his fundamental contributions to representation theory that led to new branches of mathematics and physics.”
450:
In May 2008, the
Pacific Institute for Mathematical Sciences hosted a conference: “Lie Theory and Geometry: the Mathematical Legacy of Bertram Kostant,” at the University of British Columbia, celebrating the life and work of Kostant in his 80th year. In 2012, he was elected to the inaugural class of
442:
Kostant was a
Guggenheim Fellow in 1959-60 (in Paris), and a Sloan Fellow in 1961-63. In 1962 he was elected to the American Academy of Arts and Sciences, and in 1978 to the National Academy of Sciences. In 1982 he was a fellow of the Sackler Institute for Advanced Studies at Tel Aviv University. In
446:
In 2001, Kostant was a Chern
Lecturer and Chern Visiting Professor at Berkeley. He received honorary degrees from the University of CĂłrdoba in Argentina in 1989, the University of Salamanca in Spain in 1992, and Purdue University in 1997. The latter, from his alma mater, was an honorary Doctor of
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1990 he was awarded the Steele Prize of the
American Mathematical Society, in recognition of his 1975 paper, “On the existence and irreducibility of certain series of representations.”
1304:
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Science degree, citing his fundamental contributions to mathematics and the inspiration he and his work provided to generations of researchers.
36:
1354:
1299:
1294:
974:"On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of
1125:
945:
Kostant, Bertram; Sternberg, Shlomo (1987), "Symplectic reduction, BRS cohomology, and infinite-dimensional
Clifford algebras",
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1334:
1329:
1108:
1069:
792:
659:
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185:
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Kostant, Bertram (2009). "The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group".
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189:
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Kazhdan, D.; Kostant, B.; Sternberg, S. (1978). "Hamiltonian group actions and dynamical systems of
Calogero type".
534:
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129:
1349:
1250:
892:
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Hochschild, G.; Kostant, Bertram; Rosenberg, Alex (2009). "Differential forms on regular affine algebras".
332:
392:
133:
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Auslander, L.; Kostant, B. (1971). "Polarization and unitary representations of solvable Lie groups".
81:
1220:
1135:
147:
1044:
903:
871:
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Kostant, Bertram (1979). "The solution to a generalized Toda lattice and representation theory".
400:
716:
Kostant, B.; Rallis, S. (1971). "Orbits and representations associated with symmetric spaces".
380:
308:
141:
35:
Bertram
Kostant at a workshop on “Enveloping Algebras and Geometric Representation Theory” in
403:, he is one of the namesakes of the Hochschild–Kostant–Rosenberg theorem which describes the
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1084:(Reprinted from Trans. Amer. Math. Soc., vol. 102, no. 3, March 1962, pp. 383–408)
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Kostant, Bertram (1977). "Graded manifolds, graded Lie theory, and prequantization".
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463:"Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold"
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347:, where he remained until his retirement in 1993. Kostant's work has involved
241:
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202:
Representations of a Lie algebra and its enveloping algebra on a
Hilbert space
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423:
304:
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256:
236:
85:
1246:
936:
861:
802:
Kostant, Bertram (1978). "On
Whittaker vectors and representation theory".
525:
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in 1945. He went on to obtain an undergraduate degree in mathematics from
213:
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614:"On the existence and irreducibility of certain series of representations"
1195:
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356:
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175:
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Kostant, Bertram (1970). "Quantization and unitary representations".
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646:. Lecture Notes in Mathematics 170. Vol. 170. pp. 87–208.
596:
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1241:
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58:
30:
323:, where he wrote a dissertation on representations of Lie groups.
1196:"On Some Mathematics in Garrett Lisi's 'E8 Theory of Everything'"
899:"The nil Hecke ring and cohomology of GP for a Kac-Moody group G"
1156:"Bertram Kostant, professor emeritus of mathematics, dies at 88"
535:"Lie algebra cohomology and the generalized Borel-Weil theorem"
379:. He has been one of the principal developers of the theory of
196:
1115:(Reprinted from the Amer. J. Math., vol. 81, no. 4, Oct. 1959)
779:. Lecture Notes in Math 570. Vol. 570. pp. 177–306.
746:
109:
747:"On convexity, the Weyl group and the Iwasawa decomposition"
434:. At present he has more than 100 mathematical descendants.
1048:
1305:
Members of the United States National Academy of Sciences
145:
Kostant–Parthasarathy–Ranga Rao–Varadarajan determinants
118:
777:
Differential Geometrical Methods in Mathematical Physics
279:(May 24, 1928 – February 2, 2017) was an American
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980:
1258:
Lie Theory and Geometry, In Honor of Bertram Kostant
1255:
751:
Annales Scientifiques de l'École Normale Supérieure
1007:
375:. He has given several lectures on the Lie group
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944:
673:
644:Lectures in modern analysis and applications III
1193:
581:"Lie group representations on polynomial rings"
1315:Institute for Advanced Study visiting scholars
850:Communications on Pure and Applied Mathematics
1345:Massachusetts Institute of Technology faculty
715:
618:Bulletin of the American Mathematical Society
1310:Fellows of the American Mathematical Society
896:
490:"A formula for the multiplicity of a weight"
1008:{\displaystyle {\mbox{SL}}(2,\mathbb {R} )}
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1340:University of California, Berkeley faculty
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897:Kostant, Bertram; Kumar, Shrawan (1986).
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1056:. New York: Springer. pp. 265–290.
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1221:"Hochschild-Kostant-Rosenberg theorem"
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315:in 1950. He earned his Ph.D. from the
345:Massachusetts Institute of Technology
186:Massachusetts Institute of Technology
1355:Mathematicians from New York (state)
1300:21st-century American mathematicians
1295:20th-century American mathematicians
1126:Chern's conjecture (affine geometry)
437:
383:. His introduction of the theory of
148:Hochschild-Kostant-Rosenberg theorem
1200:UC Riverside mathematics colloquium
13:
341:University of California, Berkeley
190:University of California, Berkeley
14:
1366:
1256:Brylinski, Jean-Luc, ed. (1994).
507:10.1090/S0002-9947-1959-0109192-6
480:10.1090/S0002-9947-1955-0084825-8
387:has led to the theory of quantum
319:in 1954, under the direction of
29:
718:American Journal of Mathematics
631:10.1090/S0002-9904-1969-12235-4
585:American Journal of Mathematics
343:, he joined the faculty at the
1212:
1194:Bertram Kostant (2008-02-12).
1187:
1174:"Professor Kostant's Homepage"
1166:
1148:
1002:
988:
1:
1320:Stuyvesant High School alumni
1251:Mathematics Genealogy Project
1235:
1219:Porter, Tim (April 8, 2014),
1032:10.1090/S1088-4165-00-00096-0
16:American Jewish mathematician
1335:Princeton University faculty
1330:University of Chicago alumni
967:10.1016/0003-4916(87)90178-3
918:10.1016/0001-8708(86)90101-5
885:10.1016/0001-8708(79)90057-4
333:Institute for Advanced Study
7:
1119:
130:Kostant's convexity theorem
10:
1371:
1242:Kostant's home page at MIT
395:is named after him. With
393:Kostant partition function
307:, where he graduated from
134:Kostant partition function
745:Kostant, Bertram (1973).
612:Kostant, Bertram (1969).
579:Kostant, Bertram (1963).
533:Kostant, Bertram (1961).
488:Kostant, Bertram (1959).
461:Kostant, Bertram (1955).
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1325:Purdue University alumni
1141:
1136:Symplectic spinor bundle
804:Inventiones Mathematicae
676:Inventiones Mathematicae
299:Early life and education
943:with Shlomo Sternberg:
904:Advances in Mathematics
872:Advances in Mathematics
563:2027/mdp.39015095258318
401:Alex F. T. W. Rosenberg
1260:. Boston, Birkhäuser.
1009:
862:10.1002/cpa.3160310405
494:Trans. Amer. Math. Soc
467:Trans. Amer. Math. Soc
381:geometric quantization
309:Stuyvesant High School
142:Geometric quantization
1176:. MIT Math Department
1010:
542:Annals of Mathematics
455:Selected publications
414:His students include
365:differential geometry
349:representation theory
327:Career in mathematics
317:University of Chicago
289:differential geometry
285:representation theory
115:University of Chicago
1350:People from Brooklyn
1095:. pp. 130–189.
978:
369:mathematical physics
337:Princeton University
293:mathematical physics
1162:. 16 February 2017.
959:1987AnPhy.176...49K
816:1978InMat..48..101K
764:10.24033/asens.1254
688:1971InMat..14..255A
416:James Harris Simons
405:Hochschild homology
373:symplectic geometry
303:Kostant grew up in
247:James Harris Simons
1041:Gerhard Hochschild
1005:
986:
824:10.1007/BF01390249
785:10.1007/Bfb0087788
696:10.1007/BF01389744
652:10.1007/BFb0079068
397:Gerhard Hochschild
361:homogeneous spaces
331:After time at the
227:Marjorie Batchelor
138:Kostant polynomial
1110:978-0-387-09582-0
1101:10.1007/b94535_11
1071:978-0-387-09582-0
1062:10.1007/b94535_14
1025:: 181–224. 2000.
1019:Represent. Theory
985:
947:Annals of Physics
794:978-3-540-08068-8
661:978-3-540-05284-5
438:Awards and honors
313:Purdue University
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220:Doctoral students
166:Scientific career
106:Purdue University
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1093:Collected Papers
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1054:Collected Papers
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209:Doctoral advisor
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730:10.2307/2373470
670:Louis Auslander
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554:10.2307/1970237
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385:prequantization
371:, particularly
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277:Bertram Kostant
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102:Alma mater
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712:Stephen Rallis
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1203:. Retrieved
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357:Lie algebras
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321:Irving Segal
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214:Irving Segal
201:
182:Institutions
165:
158:Wigner Medal
76:(2017-02-02)
55:May 24, 1928
1290:2017 deaths
1285:1928 births
432:Birgit Speh
428:David Vogan
262:David Vogan
252:Birgit Speh
176:Mathematics
94:Nationality
37:Oberwolfach
1279:Categories
1236:References
1205:2008-06-15
1180:2007-10-31
353:Lie groups
339:, and the
82:Roslindale
51:1928-05-24
832:122765132
704:122009744
1160:MIT News
1120:See also
1080:54088721
937:16593661
526:16590246
409:algebras
407:of some
97:American
63:New York
59:Brooklyn
1249:at the
955:Bibcode
812:Bibcode
738:2373470
684:Bibcode
605:2373130
572:1970237
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928:323118
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517:528626
514:
430:, and
391:. The
291:, and
197:Thesis
172:Fields
160:(2016)
154:Awards
88:, U.S.
65:, U.S.
39:, 2009
1142:Notes
1076:S2CID
1039:with
891:with
838:with
828:S2CID
734:JSTOR
710:with
700:S2CID
668:with
601:JSTOR
568:JSTOR
538:(PDF)
1262:ISBN
1225:nLab
1105:ISBN
1066:ISBN
1043:and
933:PMID
842:and
789:ISBN
656:ISBN
522:PMID
399:and
367:and
71:Died
45:Born
1097:doi
1091:In:
1058:doi
1052:In:
1027:doi
963:doi
951:176
923:PMC
913:doi
881:doi
858:doi
820:doi
781:doi
775:In:
759:doi
726:doi
692:doi
648:doi
642:In:
626:doi
593:doi
558:hdl
550:doi
512:PMC
502:doi
475:doi
119:PhD
1281::
1223:,
1198:.
1158:.
1103:.
1074:.
1064:.
1047::
1021:.
1017:.
984:SL
961:,
949:,
931:.
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909:62
907:.
901:.
895::
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826:.
818:.
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753:.
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714::
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690:.
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672::
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377:E8
363:,
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351:,
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295:.
287:,
110:BS
84:,
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