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Invariant differential operators and an homomorphism of Harish-Chandra
Author(s):
T.
Levasseur;
J. T.
Stafford
Journal:
J. Amer. Math. Soc.
8
(1995),
365-372.
MSC:
Primary 22E47;
Secondary 14L30, 16S32
MathSciNet review:
1284849
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Additional information
References:
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- [HC1]
- Harish-Chandra, Differential operators on a semisimple Lie algebra, Amer. J. Math. 79 (1957), 87-120. MR 0084104 (18:809d)
- [HC2]
- -, Invariant differential operators and distributions on a semisimple Lie algebra, Amer. J. Math. 86 (1964), 534-564. MR 0180628 (31:4862a)
- [HC3]
- -, Invariant eigendistributions on a semi-simple Lie algebra, Inst. Hautes Études Sci. Publ. Math. 27 (1965), 5-54.
- [KL]
- G. R. Krause and T. H. Lenagan, Growth of algebras and Gelfand-Kirillov dimension, Research Notes in Math., vol. 116, Pitman, Boston, 1985. MR 1721834 (2000j:16035)
- [LS]
- T. Levasseur and J. T. Stafford, Rings of differential operators on classical rings of invariants, Mem. Amer. Math. Soc. 412 (1989). MR 988083 (90i:17018)
- [MR]
- J. C. McConnell and J. C. Robson, Non-commutative Noetherian rings, Wiley-Interscience, Chichester, 1987. MR 934572 (89j:16023)
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- S. Montgomery, Fixed rings of finite automorphism groups of associative rings, Lecture Notes in Math., vol. 818, Springer-Verlag, Berlin and New York, 1980. MR 590245 (81j:16041)
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- N. R. Wallach, Invariant differential operators on a reductive Lie algebra and Weyl group representations, J. Amer. Math. Soc. 6 (1993), 779-816. MR 1212243 (94a:17014)
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Additional Information:
DOI:
10.1090/S0894-0347-1995-1284849-8
PII:
S0894-0347-1995-1284849-8
Keywords:
Invariant differential operators,
semisimple Lie algebras,
invariant distributions,
Springer correspondence
Copyright of article:
Copyright
1995,
American Mathematical Society
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