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Barbasch, Dan; Vogan, David

Primitive ideals and orbital integrals in complex exceptional groups. (English) Zbl 0513.22009

J. Algebra 80, 350-382 (1983).
Reviewer: S. Prishchepionok
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scan of Zbl 0513.22009

Cited in 4 Reviews
Cited in 73 Documents

MSC:

22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
17B35 Universal enveloping (super)algebras

Keywords:

complex exceptional groups; primitive spectrum; unipotent orbital integrals; character formuls; irreducible highest weight modules; primitive ideals; regular integral infinitesimal character; Harish-Chandra invariant integral; Verma module; Springer correspondence

Citations:

Zbl 0504.22015; Zbl 0544.22009; Zbl 0489.22010
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Full Text: DOI

References:

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[15] Joseph, A., \(W\)-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra, (Noncommutative Harmonic Analysis. Noncommutative Harmonic Analysis, Lecture Notes in Mathematics No. 728 (1979), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York), 116-135 · Zbl 0422.17004
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[23] Vogan, D., A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra, Math. Ann., 242, 209-224 (1979) · Zbl 0387.17007
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