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pro vyhledávání: '"Vogan Jr, David A."'
Autor:
Lusztig, George, Vogan, Jr, David A.
In a previous article we have defined an action of the Iwahori-Hecke algebra of a Coxeter group W on a free module with basis indexed by the involutions in W. In this paper we show that the specialization of this action at the parameter 0 has a simpl
Externí odkaz:
http://arxiv.org/abs/2107.10754
Autor:
Adams, Jeffrey, Vogan Jr, David A.
We give an algorithm to compute the associated variety of a Harish- Chandra module for a real reductive group $G({\mathbb R})$. The algorithm is implemented in the atlas software package.
Comment: Second version corrects some serious typographic
Comment: Second version corrects some serious typographic
Externí odkaz:
http://arxiv.org/abs/2103.11836
We present a closed formula, analogous to the Weyl dimension formula, for the signature of an invariant Hermitian form on any finite-dimensional irreducible representation of a real reductive Lie group, assuming that such a form exists. The formula s
Externí odkaz:
http://arxiv.org/abs/1809.03533
Spheres can be written as homogeneous spaces $G/H$ for compact Lie groups in a small number of ways. In each case, the decomposition of $L^2(G/H)$ into irreducible representations of $G$ contains interesting information. We recall these decomposition
Externí odkaz:
http://arxiv.org/abs/1803.01267
Let $G$ be a finite cover of a closed connected transpose-stable subgroup of $GL(n,\bR)$ with complexified Lie algebra $\frg$. Let $K$ be a maximal compact subgroup of $G$, and assume that $G$ and $K$ have equal rank. We prove a translation principle
Externí odkaz:
http://arxiv.org/abs/1504.08307
Autor:
Adams, Jeffrey, Vogan Jr, David A.
The study of Hermitian forms on a real reductive group $G$ gives rise, in the unequal rank case, to a new class of Kazhdan-Lusztig-Vogan polynomials. These are associated with an outer automorphism $\delta$ of $G$, and are related to representations
Externí odkaz:
http://arxiv.org/abs/1502.03304
Akademický článek
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We present a finite algorithm for computing the set of irreducible unitary representations of a real reductive group G. The Langlands classification, as formulated by Knapp and Zuckerman, exhibits any representation with an invariant Hermitian form a
Externí odkaz:
http://arxiv.org/abs/1212.2192
Autor:
Adams, Jeffrey, Vogan Jr, David A.
We consider the question: what is the contragredient in terms of L-homomorphisms? We conjecture that it corresponds to the Chevalley automorphism of the L-group, and prove this in the case of real groups. The proof uses a characterization of the loca
Externí odkaz:
http://arxiv.org/abs/1201.0496
Autor:
Lusztig, George, Vogan Jr, David A.
For any two involutions y,w in a Weyl group (y\le w), let P_{y,w} be the polynomial defined in [KL]. In this paper we define a new polynomial P^\sigma_{y,w} whose i-th coefficient is a_i-b_i where the i-th coefficient of P_{y,w} is a_i+b_i (a_i,b_i a
Externí odkaz:
http://arxiv.org/abs/1109.4606