Branching Laws for Some Unitary Representations of SL(4,R)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Authors: Ørsted, B., Speh, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148973
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Branching Laws for Some Unitary Representations of SL(4,R) / B. Ørsted, B. Speh // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 28 назв. — англ.

In this paper we consider the restriction of a unitary irreducible representation of type Aq(λ) of GL(4,R) to reductive subgroups H which are the fixpoint sets of an involution. We obtain a formula for the restriction to the symplectic group and to GL(2,C), and as an application we construct in the...