Construction of Irreducible ()ᴳ′-Modules and Discretely Decomposable Restrictions

In this paper, we study the irreducibility of ()ᴳ′-modules on the spaces of intertwining operators in the branching problem of reductive Lie algebras, and construct a family of finite-dimensional irreducible ()ᴳ′-modules using the Zuckerman derived functors. We provide criteria for the irreducibilit...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2025
1. Verfasser: Kitagawa, Masatoshi
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2025
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/214188
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Construction of Irreducible ()ᴳ′-Modules and Discretely Decomposable Restrictions. Masatoshi Kitagawa. SIGMA 21 (2025), 095, 37 pages

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