The last possible place of unitarity for certain highest weight modules. (English) Zbl 0478.22007

Jakobsen, Hans Plesner

Math. Ann. 256, 439-447 (1981).

MSC:

22E46	Semisimple Lie groups and their representations
22E47	Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
17B35	Universal enveloping (super)algebras
32M15	Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)

Keywords:

holomorphically induced representations; Hermitian symmetric spaces; simple Lie algebra; Cartan decomposition; finite-dimensional irreducible module; last possible place; Kashiwara-Vergne conjecture; unitarity; highest weight modules

Citations:

Zbl 0466.22016; Zbl 0283.17001

References:

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[3]	Humphreys, J.E.: Introduction to Lie algebras and representation theory Berlin, Heidelberg, New York: Springer 1972 · Zbl 0254.17004
[4]	Jakobsen, H.P., Vergne, M.: Restrictions and expansions of holomorphic representations. J. Functional Analysis34, 29-53 (1979) · Zbl 0433.22011
[5]	Jakobsen, H.P.: On singular holomorphic representations. Invent Math.62, 67-78 (1980) · Zbl 0466.22016
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