Abstract
We study representations \(T_{\mu ,\tau } \left( {\mu ,\tau \in \mathbb{C}} \right)\) of the universal covering group \(\tilde G\,of\,G = SU\left( {n,n} \right)\) induced by characters of a maximal parabolic subgroup \(\tilde P\,\left( {\tilde G/\tilde P\,is\,the\,Shilov\,boundary\,of\,G/K} \right)\): composition series, intertwining operators, invariant sesqui-linear forms, realizations on holomorphic functions, etc.
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Molchanov, V.F. (1998). Maximal Degenerate Series Representations of the Universal Covering of the Group SU(n,n). In: Komrakov, B.P., Krasil’shchik, I.S., Litvinov, G.L., Sossinsky, A.B. (eds) Lie Groups and Lie Algebras. Mathematics and Its Applications, vol 433. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5258-7_20
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DOI: https://doi.org/10.1007/978-94-011-5258-7_20
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