Dirac index and associated cycles of Harish-Chandra modules

Autor: David A. Vogan, Pavle Pandžić, Roger Zierau, Salah Mehdi

Publikováno v: Advances in Mathematics
Advances in Mathematics, Elsevier, 2020, 361, pp.106917. ⟨10.1016/j.aim.2019.106917⟩

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68d0b52f30630e05b26c27a2e919e2b7
https://hal.archives-ouvertes.fr/hal-03336278/document

Computing the associated cycles of certain Harish-Chandra modules

Autor: Salah Mehdi, Roger Zierau, Pavle Pandžić, David A. Vogan

Publikováno v: Glasnik matematički
Volume 53
Issue 2
Glasnik Matematicki
Glasnik Matematicki, Drazen Adamovic, 2018, 53 (2), pp.275-330. ⟨10.3336/gm.53.2.05⟩

International audience; Let G_R be a simple real linear Lie group with maximal compact subgroup K_R and assume that rank(G_R) = rank(K_R). In [MPVZ] we proved that for any representation X of Gelfand-Kirillov dimension 1 2 dim(G_R /K_R), the polynomi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5a3d1170eea509229000204994e5c9b
https://hrcak.srce.hr/file/313466

Translation principle for Dirac index

Autor: David A. Vogan, Salah Mehdi, Pavle Pandžić

Publikováno v: American Journal of Mathematics
American Journal of Mathematics, Johns Hopkins University Press, 2017, 139 (6), pp.1465-1491. ⟨10.1353/ajm.2017.0037⟩
arXiv

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4fe5889cc402b92291b49b2e3a22cd5
https://doi.org/10.1353/ajm.2017.0037

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