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arXiv · 1104.4399

Branching problems of Zuckerman derived functor modules

Toshiyuki Kobayashi
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Abstract

We discuss recent developments on branching problems of irreducible unitary representations $\pi$ of real reductive groups when restricted to reductive subgroups. Highlighting the case where the underlying $(g,K)$-modules of $\pi$ are isomorphic to Zuckerman's derived functor modules $A_q(\lambda)$, we show various and rich features of branching laws such as infinite multiplicities, irreducible restrictions, multiplicity-free restrictions, and discrete decomposable restrictions. We also formulate a number of conjectures.

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BibTeXRIS

Toshiyuki Kobayashi. 2011-04-22. Branching problems of Zuckerman derived functor modules. https://arxiv.org/abs/1104.4399

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