Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Pavle Pandžić"'
Autor:
Pavle Pandžić, S. Mehdi
Let G G be a non-compact connected semisimple real Lie group with finite center. Suppose L L is a non-compact connected closed subgroup of G G acting transitively on a symmetric space G / H G/H such that L ∩ H L\cap H is compact. We study the actio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a52e3f854ecae24585d66a0dde99f9c5
https://www.bib.irb.hr/1201300
https://www.bib.irb.hr/1201300
Publikováno v:
Advances in Mathematics
Advances in Mathematics, Elsevier, 2020, 361, pp.106917. ⟨10.1016/j.aim.2019.106917⟩
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
https://hal.archives-ouvertes.fr/hal-03336278/document
This volume contains the proceedings of the conference Representation Theory XVI, held from June 25–29, 2019, in Dubrovnik, Croatia. The articles in the volume address selected aspects of representation theory of reductive Lie groups and vertex alg
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
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
https://doi.org/10.1353/ajm.2017.0037
Autor:
Salah Mehdi, Pavle Pandžić
Publikováno v:
Journal of Algebra. 451:577-582
The statements of Theorem 1.3, Lemma 3.2 and Proposition 5.2 in [4] are incorrect. We give counterexamples to these statements and we offer a replacement for Theorem 1.3, under stronger assumptions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41e403be0d4364d212ba378e0273bef2
https://doi.org/10.1016/j.jalgebra.2015.04.032
https://doi.org/10.1016/j.jalgebra.2015.04.032
Autor:
Dan Barbasch, Pavle Pandžić
Publikováno v:
Springer INdAM Series ISBN: 9783030329051
We present recent joint work with Peter Trapa on the notion of twisted Dirac index and its applications to (twisted) characters and to extensions of modules in a short and informal way. We also announce some further generalizations with applications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c993b6bf364c9d46a3c8da06520b4ed9
https://doi.org/10.1007/978-3-030-32906-8_2
https://doi.org/10.1007/978-3-030-32906-8_2
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73e48867b99f303287bc481db4971f19
https://doi.org/10.1090/tran/7318
https://doi.org/10.1090/tran/7318
Autor:
Petr Somberg, Pavle Pandžić
Publikováno v:
Transformation Groups. 21:803-819
We modify the definition of Dirac cohomology in such a way that the standard properties of the usual Dirac cohomology, valid for modules with infinitesimal character, become valid also for modules with only generalized infinitesimal character.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4db16c1915171e8298f6790f0e6ad31
https://doi.org/10.1007/s00031-015-9361-6
https://doi.org/10.1007/s00031-015-9361-6
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⟩
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
https://hrcak.srce.hr/file/313466
Autor:
Petr Somberg, Pavle Pandžić
Publikováno v:
Archivum Mathematicum. :331-346
We study certain ${\mathfrak{sl}}(2,\mathbb{C})$-actions associated to specific examples of branching of scalar generalized Verma modules for compatible pairs $(\mathfrak{g},\mathfrak{p})$, $(\mathfrak{g}^{\prime },\mathfrak{p}^{\prime })$ of Lie alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b4613aebb6328cd11b21c877c2be90e
https://doi.org/10.5817/am2015-5-331
https://doi.org/10.5817/am2015-5-331