Abstract
In this work we present a new context of the canonical representations which have been introduced by Berezin, Gel’fand, Graev and Vershik for simple Lie groups G of Hermitian type. We discuss maximal-degenerate representations of the complexification of G and the decomposition of the canonical representations into irreducible parts.
Mathematics Subject Classification (1991): 22E30, 22E46, 43A80, 43A85, 53C35
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© 1998 Springer Science+Business Media Dordrecht
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Van Dijk, G., Hille, S.C. (1998). Maximal Degenerate Representations, Berezin Kernels and Canonical Representations. 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_18
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DOI: https://doi.org/10.1007/978-94-011-5258-7_18
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