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Weyl group representations and nilpotent orbits. (English) Zbl 0537.22013

Representation theory of reductive groups, Proc. Conf., Park City/Utah 1982, Prog. Math. 40, 21-33 (1983).
[For the entire collection see Zbl 0516.00013..]
The authors study the real rank groups. In section 2 they parametrize the representations with a fixed regular integral infinitesimal character. Then the coherent continuation representation is studied and the notion of a cell is introduced. In section 3 some results on asymptotic support are given in order to calculate it for a special class of representations. Finally, the calculations are applied to U(p,q).
Reviewer: C.Udrişte

MSC:

22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)

Citations:

Zbl 0516.00013