Zobrazeno 1 - 10
of 529
pro vyhledávání: '"Dirac index"'
Autor:
Dong, Chao-Ping, Wong, Kayue Daniel
Let $G$ be $Sp(2n, \mathbb{R})$ or $SO^*(2n)$. We compute the Dirac index of a large class of unitary representations considered by Vogan in Section 8 of [Vog84], which include all weakly fair $A_{\mathfrak{q}}(\lambda)$ modules and (weakly) unipoten
Externí odkaz:
http://arxiv.org/abs/2102.07942
Autor:
Dong, Chao-Ping, Wong, Kayue Daniel
Publikováno v:
In Journal of Algebra 1 August 2022 603:1-37
Publikováno v:
In Advances in Mathematics 12 February 2020 361
Publikováno v:
American Journal of Mathematics, 2017 Dec 01. 139(6), 1465-1491.
Externí odkaz:
https://www.jstor.org/stable/26571373
Let $G_{\mathbb{R}}$ be a simple real linear Lie group with maximal compact subgroup $K_{\mathbb{R}}$ and assume that ${\rm rank}(G_\mathbb{R})={\rm rank}(K_\mathbb{R})$. For any representation $X$ of Gelfand-Kirillov dimension $\frac{1}{2} {\rm dim}
Externí odkaz:
http://arxiv.org/abs/1712.04169
Let G be a real reductive Lie group with maximal compact sub- group K. We generalize the usual notion of Dirac index to a twisted version, which is nontrivial even in case G and K do not have equal rank. We compute ordinary and twisted indices of sta
Externí odkaz:
http://arxiv.org/abs/1606.05425
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:
Renard, David
Let $G$ be a connected real reductive group with maximal compact subgroup $K$ of equal rank, and let $\mathscr M$ be the category of Harish-Chandra modules for $G$. We relate three differentely defined pairings between two finite length modules $X$ a
Externí odkaz:
http://arxiv.org/abs/1409.4166
Autor:
Ciubotaru, Dan, He, Xuhua
We provide a direct connection between Springer theory, via Green polynomials, the irreducible representations of the pin cover $\wti W$, a certain double cover of the Weyl group $W$, and an extended Dirac operator for graded Hecke algebras. Our appr
Externí odkaz:
http://arxiv.org/abs/1303.6806