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Finite multiplicity theorems for induced representations of semisimple Lie groups and their applications togeneralized Gelfand-Graev representations

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1987
The author announces results whose proofs are to appear elsewhere. They concern finite multiplicity results for induced representations in the following setting. Let \(G\) be a real semisimple Lie group with Cartan involution \(\theta\), let \(Q=LN\) be a parabolic subgroup with \(\theta\)-stable Levi component \(L\), suppose that \(L\) carries an ...
openaire   +3 more sources

Representations of Weyl groups and their Hecke algebras on virtual character modules of a semisimple Lie group

open access: yesKyoto Journal of Mathematics, 1987
Let G be a connected semisimple Lie group with finite center and \({\mathfrak g}\) its Lie algebra. In a preceeding paper [J. Math. Soc. Japan 37, 719- 740 (1985; Zbl 0589.22012)], we defined a Weyl group action on virtual character modules with regular infinitesimal characters (recall that a virtual character is by definition a linear combination of ...
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Compact homogeneous Leviflat CR-manifolds. [PDF]

open access: yesComplex Analysis Synerg, 2021
Al-Abdallah AR, Gilligan B.
europepmc   +1 more source

Vector bundles on rational homogeneous spaces. [PDF]

open access: yesAnn Mat Pura Appl, 2021
Du R, Fang X, Gao Y.
europepmc   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

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