The associated variety of an induced representation

This paper studies the behavior of the associated variety under induction from real parabolic subgroups. We derive a formula for the associated variety of an induced module which is analogous to the formula for the wave front set of a derived functor module obtained by Barbasch and Vogan.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1999-01, Vol.127 (1), p.279-288
Main Authors: Barbasch, Dan, Božičević, Mladen
Format: Article
Language:English
Subjects:
Algebra
Functors
Lie groups
Mathematical duality
Mathematical induction
Mathematical notation
Mathematical theorems
Mathematical vectors
Research article
Subalgebras
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Description
Summary:This paper studies the behavior of the associated variety under induction from real parabolic subgroups. We derive a formula for the associated variety of an induced module which is analogous to the formula for the wave front set of a derived functor module obtained by Barbasch and Vogan.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-99-04482-2