|
Quantum coadjoint action
Author(s):
C.
De Concini;
V. G.
Kac;
C.
Procesi
Journal:
J. Amer. Math. Soc.
5
(1992),
151-189.
MSC:
Primary 17B37;
Secondary 16W30, 58F06, 81R50
MathSciNet review:
1124981
Retrieve article in:
PDF
This article is available free of charge
References |
Similar articles |
Additional information
References:
-
- [BC]
- P. Bala and R. W. Carter, Classes of unipotent elements in simple algebraic groups, II, Math. Proc. Cambridge Philos. Soc. 80 (1976), 1-18. MR 0417307 (54:5363b)
- [D]
- V. G. Drinfeld, Quantum groups, Proc. ICM Berkeley 1 (1986), 789-820. MR 934283 (89f:17017)
- [DCK]
- C. De Concini and V. G. Kac, Representations of quantum groups at roots of 1, Colloque Dixmier 1989, pp. 471-506; Progress in Math., vol. 92, Birkhäuser, Boston, MA, 1990. MR 1103601 (92g:17012)
- [DCK1]
- -, Representations of quantum groups at roots of 1: reduction to the exceptional case, RIMS 792 preprint, 1991. MR 1237431
- [KP]
- V. G. Kac and D. H. Peterson, Defining relations of certain infinite-dimensional groups, Astérisque, hors série (1985), 165-208. MR 837201 (87j:22027)
- [KW]
- V. G. Kac and B. Yu. Weisfeiler, Coadjoint action of a semi-simple algebraic group and the center of the enveloping algebra in characteristic
 , Indag. Math. 38 (1976), 136-151. MR 0417308 (54:5364) - [K]
- B. Kostant, Lie group representations on polynomial rings, Amer. J. Math. 86 (1963), 327-402. MR 0158024 (28:1252)
- [L]
- G. Lusztig, Quantum groups at roots of 1, Geom. Dedicata 35 (1990), 89-114. MR 1066560 (91j:17018)
- [LuR]
- J.-H. Lu and T. Ratiu, On the nonlinear convexity theorem of Kostant, J. Amer. Math. Soc. 4 (1991), 349-363. MR 1086967 (92a:58048)
- [STS]
- M. A. Semenov-Tian-Shansky, Dressing transformations and Poisson group actions, Publ. RIMS 21 (1985), 1237-1260. MR 842417 (88b:58057)
- [Se]
- J.-P. Serre, Algebre locale. Multiplicites, Lecture Notes in Math., vol. 11, Springer-Verlag, Berlin-New York, 1975. MR 0201468 (34:1352)
- [S]
- R. Steinberg, Regular elements of semi-simple algebraic groups, Publ. Math. IHES 25 (1965), 49-80. MR 0180554 (31:4788)
- [WK]
- B. Yu. Weisfeiler and V.G. Kac, On irreducible representations of Lie
 -algebras, Funct. Anal. Appl. 5 (1971), 28-36. MR 0285575 (44:2793)
Similar Articles:
Retrieve articles in Journal of the American Mathematical Society
with
MSC:
17B37,
16W30, 58F06, 81R50
Retrieve articles in all Journals with
MSC:
17B37,
16W30, 58F06, 81R50
Additional Information:
DOI:
10.1090/S0894-0347-1992-1124981-X
PII:
S0894-0347-1992-1124981-X
Copyright of article:
Copyright
1992,
American Mathematical Society
|
