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

By Toshiyuki Kobayashi, Yoshiki Oshima. 2011

54 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a409a139b1a53677c9bd6c0f82c8b014753e38f8

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In Geometry and Topology

1. T. Matsuki
2. Toshiyuki Kobayashi
3. M. Pevzner

In Mathematical Physics

1. T. Matsuki
2. Toshiyuki Kobayashi
3. M. Pevzner

Citations in the corpus

• CLASSIFICATION OF FINITE-MULTIPLICITY SYMMETRIC PAIRS (2013, background): “This direction was pursued in [9] under the additional assumption of discrete decomposability of branching laws (referred to as H-admissible restriction), and the classification theory has been recently studied in [14, 15], particularly for “relatively small” infinite-dimensional representations π o”