Results 111 to 120 of about 261 (163)

Higher Structure of Chiral Symmetry. [PDF]

Commun Math Phys
Copetti C, Del Zotto M, Ohmori K, Wang Y.   +3 more
europepmc   +1 more source

Vanishing properties of cuspidal local systems. [PDF]

Proc Natl Acad Sci U S A, 1994
Lusztig G.
europepmc   +1 more source

Singular Integrals and the Principal Series, III. [PDF]

Proc Natl Acad Sci U S A, 1974
Knapp AW, Stein EM.
europepmc   +1 more source

Minimal representations of E6, E7, and E8 and the generalized Capelli identity. [PDF]

Proc Natl Acad Sci U S A, 1994
Brylinski R, Kostant B.
europepmc   +1 more source

Equivariant Derived Category and Representation of Real Semisimple Lie Groups

, 2008
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Tempered Representations of Semisimple Lie Groups

We start by describing the fundamental theory of representation theory of a semisimple Lie group. This is followed by a classification of almost all irreducible tempered representations of a connected, semisimple, linear Lie group. We apply this classification to describe the structure of the reduced group C*-algebras of such groups.
Roger Plymen
exaly   +3 more sources

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
Segal, I. E., von Neumann, John
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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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On the Representations of the Semisimple Lie Groups. II

Journal of Mathematical Physics, 1963
The explicit determination of the matrices of the generators of the unitary groups, SUn, is carried out and discussed in two alternative treatments: (a) by purely algebraic infinitesimal methods, and (b) by Young-pattern techniques employing the Schwinger-Bargmann boson operator methods.
G. E. Baird, L. C. Biedenharn
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Exceptional Unitary Representations Of Semisimple Lie Groups

Representation Theory, 1996
Let G G be a noncompact simple Lie group with finite center, let
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