## Journal of the Mathematical Society of Japan

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

Gombodorj BAYARMAGNAI

#### 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.

#### Article information

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

Dates
First available in Project Euclid: 30 July 2009

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

#### Citation

BAYARMAGNAI, Gombodorj. The ( g , K ) -module structures of principal series of SU ( 2 , 2 ) . Journal of the Mathematical Society of Japan 61 (2009), no. 3, 661--686. doi:10.2969/jmsj/06130661. http://projecteuclid.org/euclid.jmsj/1248961475.

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