Classification of discretely decomposable A_q(λ) with respect to reductive symmetric pairs

Details Classification of discretely decomposable A_q(λ) with respect to reductive symmetric pairs Classification of discretely decomposable A_q(λ) with respect to reductive symmetric pairs

2011-04-22

arxiv.org/abs/1104.4400v1

Mathematics

Representation Theory

Scientific paper

We give a classification of the triples (g,g',q) such that Zuckerman's derived functor (g,K)-module A_q(\lambda) for a \theta-stable parabolic subalgebra q is discretely decomposable with respect to a reductive symmetric pair (g,g'). The proof is based on the criterion for discretely decomposable restrictions by the first author and on Berger's classification of reductive symmetric pairs.

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