The ( g , K ) -module structures of principal series of SU ( 2 , 2 )

Gombodorj BAYARMAGNAI

doi:10.2969/jmsj/06130661

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Home > Journals > J. Math. Soc. Japan > Volume 61 > Issue 3 > Article

July, 2009 The

(\mathfrak{g},K)

-module structures of principal series of

SU(2,2)

Gombodorj BAYARMAGNAI

J. Math. Soc. Japan 61(3): 661-686 (July, 2009). DOI: 10.2969/jmsj/06130661

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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.

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Gombodorj BAYARMAGNAI. "The $(\mathfrak{g},K)$ -module structures of principal series of $SU(2,2)$ ." J. Math. Soc. Japan 61 (3) 661 - 686, July, 2009. https://doi.org/10.2969/jmsj/06130661