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Algorithms for Representation Theory of Real Reductive Groups
Representation Theory Real Reductive Groups
2015/9/28
The irreducible admissible representations of a real reductive group such as GL(n, R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved an...
Unitary representations of real reductive groups
Unitary representations real reductive groups
2015/9/28
The purpose of this paper is to give a finite algorithm for computing the set of irreducible unitary representations of a real reductive Lie group G. Even before explaining the nature of the algorithm...
On the Smoothness of Centralizers in Reductive Groups
Smoothness of Centralizers Reductive Groups
2010/11/29
Let G be a connected reductive algebraic group over an algebraically closed field k. In a
recent paper, Bate, Martin, R¨ohrle and Tange show that every (smooth) subgroup of G is separable provided th...