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arXiv · 1104.4400

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

Toshiyuki Kobayashi·Yoshiki Oshima
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Abstract

We give a classification of the triples (g,g',q) such that Zuckerman's derived functor (g,K)-module A_q(λ) for a θ-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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BibTeXRIS

Toshiyuki Kobayashi, Yoshiki Oshima. 2012-06-28. Classification of discretely decomposable A_q(λ) with respect to reductive symmetric pairs. https://doi.org/10.1016/j.aim.2012.07.006

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