Classification of discretely decomposable A_q(\lambda) with respect to reductive symmetric pairs
Representation Theory
2012-09-21 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1104.4400,
title = {Classification of discretely decomposable A_q(\lambda) with respect to reductive symmetric pairs},
author = {Toshiyuki Kobayashi and Yoshiki Oshima},
journal= {arXiv preprint arXiv:1104.4400},
year = {2012}
}
Comments
final version (to appear in Advances in Mathematics)