### The $(\mathfrak{g},K)$-module structures of principal series of $SU(2,2)$

Gombodorj BAYARMAGNAI
Source: J. Math. Soc. Japan Volume 61, Number 3 (2009), 661-686.

#### Abstract

We explicitly describe the $(\mathfrak{g}_{\mbi{C}},K)$-module structures of the principal series representations of $SU(2,2)$ associated with a maximal parabolic subgroup.

First Page:
Primary Subjects: 11F70
Secondary Subjects: 22E46
Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1248961475
Digital Object Identifier: doi:10.2969/jmsj/06130661
Zentralblatt MATH identifier: 05603959
Mathematical Reviews number (MathSciNet): MR2552912

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Project Euclid: euclid.kjm/1250519799