## T. Kobayashi and Y. Oshima, *Classification of discretely decomposable
**A*_{q}(λ) with respect to reductive symmetric pairs,
Advances in Mathematics **231** (2012), 2013-2047,
arXiv:1104.4400.
DOI:10.1016/j.aim.2012.07.006..

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.

[ DOI |
arXiv |
preprint version(pdf) ]

© Toshiyuki Kobayashi