Results 121 to 130 of about 18,865 (173)

The characters of the holomorphic discrete series. [PDF]

Proc Natl Acad Sci U S A, 1975
Martens S.
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Holomorphic language for \𝑜𝑣𝑒𝑟𝑙𝑖𝑛𝑒∂-cohomology and representations of real semisimple Lie groups

, 1993
Simon Gindikin
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A theorem on the Schwartz space of a reductive Lie group. [PDF]

Proc Natl Acad Sci U S A, 1975
Arthur J.
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Singular integrals and the principal series. [PDF]

Proc Natl Acad Sci U S A, 1969
Knapp AW, Stein EM.
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Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups

, 2013
Birgit Speh, Genkai Zhang
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On the characters of the averaged discrete series representations of semisimple Lie groups

Kyoto Journal of Mathematics, 1983
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Modular representations of classical Lie algebras and semisimple groups

Journal of Algebra, 1971
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Exceptional Unitary Representations Of Semisimple Lie Groups

Representation Theory of the American Mathematical Society, 1996
Let G G be a noncompact simple Lie group with finite center, let K K be a maximal compact subgroup, and suppose that rank  G = rank  K \text {rank }G=\text {rank }K . If G / K G/K is not Hermitian symmetric,
Anthony W. Knapp
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A Theorem on Unitary Representations of Semisimple Lie Groups

The Annals of Mathematics, 1950
We show that a connected semisimple Lie group G none of whose simple constituents is compact (in particular, any connected complex semisimple group) has no nontrivial measurable unitary representations into a finite factor,-i. e. a factor of type In(n oo ) or II , in the terminology of [3]. This has been known for the case of representations of complex
Irving E. Segal, John von Neumann
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Representations of Noncompact Semisimple Lie Groups

Journal of Mathematical Physics, 1970
A method is presented for the construction of unitary representations of semisimple Lie groups (or, more precisely, of the corresponding algebras), proceeding directly from the commutation relations among the canonical generators e±α and hα. In the case of the orthogonal groups, the correspondence between the canonical generators and the more usual ...
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