Výsledky vyhledávání - "Roger Zierau"

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

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CHARACTERISTIC CYCLES OF HIGHEST WEIGHT HARISH-CHANDRA MODULES FOR Sp(2n,R)

Autor: Leticia Barchini, Roger Zierau

Publikováno v: Transformation Groups. 22:591-630

Characteristic cycles, leading term cycles, associated varieties and Harish-Chandra cells are computed for the family of highest weight Harish-Chandra modules for Sp(2n;R) having regular integral infinitesimal character.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2cff121591aeb2a8d1712c2e58f9ae2
https://doi.org/10.1007/s00031-017-9423-z

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On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras

Autor: Haian He, Toshihisa Kubo, Roger Zierau

Publikováno v: Kyoto J. Math. 59, no. 4 (2019), 787-813

In this article, we explicitly list all reducible scalar-type generalized Verma modules for all maximal parabolic subalgebras of the simple complex Lie algebras.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eae0cc2b35c595732a938ddbe000a4e6
https://projecteuclid.org/euclid.kjm/1569376962

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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

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Components of Springer fibers associated to closed orbits for the symmetric pairs (Sp(2n),Sp(2p)×Sp(2q)) and (SO(2n),GL(n)), II

Autor: Leticia Barchini, Roger Zierau

Publikováno v: Journal of Pure and Applied Algebra. 219:1103-1121

This is the second of two articles that consider the pairs of complex reductive groups ( G , K ) = ( Sp ( 2 n ) , Sp ( 2 p ) × Sp ( 2 q ) ) and ( SO ( 2 n ) , GL ( n ) ) and components of Springer fibers associated to closed K-orbits in the flag var

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::183c8ad794c7cd4d89618b19674b0bfa
https://doi.org/10.1016/j.jpaa.2014.05.038

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The Dirac cohomology of a finite dimensional representation

Autor: S. Mehdi, Roger Zierau

Publikováno v: Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, 2014, 142, pp.1507-1512. ⟨10.1090/S0002-9939-2014-11952-6⟩

International audience

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5284670742addde9fbebfbadf9392c30
https://doi.org/10.1090/s0002-9939-2014-11952-6

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Principal series representations and harmonic spinors

Autor: S. Mehdi, Roger Zierau

Publikováno v: Advances in Mathematics. 199:1-28

Let G be a real reductive Lie group and G / H a reductive homogeneous space. We consider Kostant's cubic Dirac operator D on G / H twisted with a finite-dimensional representation of H . Under the assumption that G and H have the same complex rank, w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b836394846c80a36d20807f37d09526
https://doi.org/10.1016/j.aim.2004.10.021

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Harmonic Spinors on Reductive Homogeneous Spaces

Autor: Salah Mehdi, Roger Zierau

Publikováno v: Developments and Retrospectives in Lie Theory ISBN: 9783319099330
Developments and retrospectives in Lie theory : geometric and analytic methods
Mason Geoffrey, Penkov Ivan, Wolf Joseph A. Developments and retrospectives in Lie theory : geometric and analytic methods, 37, Springer, pp.161-181, 2014, Developments in mathematics, 978-3-319-09933-0

An integral intertwining operator is given from certain principal series representations into spaces of harmonic spinors for Kostant’s cubic Dirac operator. This provides an integral representation for harmonic spinors on a large family of reductiv

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24dcd1e278d22219ac0e84cb9255ada3
https://doi.org/10.1007/978-3-319-09934-7_6

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Linear cycle spaces in flag domains

Autor: Roger Zierau, Joseph A. Wolf

Publikováno v: Mathematische Annalen. 316:529-545

Let Z = G/Q, a complex flag manifold, where G is a complex semisimple Lie group and Q is a parabolic subgroup. Fix a real form $G_0 \subset G$ and consider the linear cycle spaces $M_D$, spaces of maximal compact linear subvarieties of open orbit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b86cd42abdf8c2995986acedeb2d61ee
https://doi.org/10.1007/s002080050342

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