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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

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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References | Similar articles | Additional information

References:

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Harish-Chandra, Differential operators on a semisimple Lie algebra, Amer. J. Math. 79 (1957), 87-120. MR 0084104 (18:809d)

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-, 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.

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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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