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Invariant differential operators on a reductive Lie algebra and Weyl group representations
Author(s):
Nolan R.
Wallach
Journal:
J. Amer. Math. Soc.
6
(1993),
779-816.
MSC:
Primary 17B40;
Secondary 17B35, 20C15, 22E47
MathSciNet review:
1212243
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References:
-
- [BV1]
- D. Barbasch and D. Vogan, The local structure of characters, J. Funct. Anal. 37 (1980), 27-55. MR 576644 (82e:22024)
- [BV2]
- -, Primitive ideals and orbital integrals in complex classical groups, Math. Ann. 259 (1982), 153-199. MR 656661 (83m:22026)
- [BV3]
- -, Primitive ideals and orbital integrals in complex exceptional groups, J. Algebra 80 (1983), 350-382. MR 691809 (84h:22038)
- [B]
- J. N. Bernstein, The analytic continuation of generalized functions with respect to a parameter, Funct. Anal. Appl. 6 (1972), 26-40. MR 0320735 (47:9269)
- [Bo]
- N. Bourbaki, Groupes et Algèbras de Lie, Chapitres IV, V, et VI, Hermann, Paris, 1968. MR 0240238 (39:1590)
- [Eh]
- F. Ehlers, The Weyl algebra, Algebraic
 -modules, Chapter V, Perspect. Math., vol. 2, Academic Press, Boston, MA, 1987. MR 882000 (89g:32014) - [H1]
- Harish-Chandra, Differential operators on a semisimple Lie algebra, Amer. J. Math. 79 (1957), 87-120. MR 0084104 (18:809d)
- [H2]
- -, Invariant eigendistributions on a semisimple Lie algebra, Inst. Hautes Études Sci. Publ. Math. 27 (1965), 5-54. MR 0180630 (31:4862c)
- [H3]
- -, Invariant differential operators and distributions on a semisimple Lie algebra, Amer. J. Math. 86 (1964), 534-564. MR 0180628 (31:4862a)
- [Ho]
- L. Hörmander, The analysis of linear partial differential operators. I, Springer-Verlag, Berlin, 1990.
- [HK]
- R. Hotta and M. Kashiwara, The invariant holonomic system on a semisimple Lie algebra, Invent. Math. 75 (1984), 327-358. MR 732550 (87i:22041)
- [K]
- B. Kostant, Lie group representations on polynomial rings, Amer. J. Math. 85 (1963), 327-404. MR 0158024 (28:1252)
- [RR]
- R. Ranga Rao, Orbital integrals in reductive groups, Ann. of Math. (2) 96 (1972), 505-510. MR 0320232 (47:8771)
- [S]
- T. A. Springer, Trigonometric sums, Green functions of finite groups and representations of Weyl groups, Invent. Math. 36 (1976), 209-224. MR 0442103 (56:491)
- [Var]
- V. S. Varadarajan, Harmonic analysis on real reductive groups, Lecture Notes in Math., vol. 576, Springer-Verlag, Berlin, 1977. MR 0473111 (57:12789)
- [RRGI]
- N. R. Wallach, Real reductive groups. I, Academic Press, Boston, MA, 1988. MR 929683 (89i:22029)
- [W]
- H. Weyl, The classical groups, their invariants and representations, 2nd. ed., Princeton University Press, Princeton, NJ, 1949. MR 1488158 (98k:01049)
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Additional Information:
DOI:
10.1090/S0894-0347-1993-1212243-2
PII:
S0894-0347-1993-1212243-2
Keywords:
Research partially supported by an NSF summer grant
Copyright of article:
Copyright
1993,
American Mathematical Society
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