Relevant bibliographies by topics / Modules de Gelfand-Graev

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Modules de Gelfand-Graev'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Modules de Gelfand-Graev"

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Bonnafé, Cédric, and Raphaël Rouquier. "Coxeter Orbits and Modular Representations." Nagoya Mathematical Journal 183 (2006): 1–34. http://dx.doi.org/10.1017/s0027763000009259.

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AbstractWe study the modular representations of finite groups of Lie type arising in the cohomology of certain quotients of Deligne-Lusztig varieties associated with Coxeter elements. These quotients are related to Gelfand-Graev representations and we present a conjecture on the Deligne-Lusztig restriction of Gelfand-Graev representations. We prove the conjecture for restriction to a Coxeter torus. We deduce a proof of Brouée’s conjecture on equivalences of derived categories arising from Deligne-Lusztig varieties, for a split group of type An and a Coxeter element. Our study is based on Luszt
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ACKERMANN, BERND. "THE LOEWY SERIES OF THE STEINBERG-PIM OF FINITE GENERAL LINEAR GROUPS." Proceedings of the London Mathematical Society 92, no. 1 (2005): 62–98. http://dx.doi.org/10.1017/s0024611505015443.

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In this paper we calculate the Loewy series of the projective indecomposable module of the unipotent block contained in the Gelfand–Graev module of the finite general linear group in the case of non-describing characteristic and Abelian defect group.
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3

Dudas, Olivier. "Deligne-Lusztig restriction of a Gelfand-Graev module." Annales scientifiques de l'École normale supérieure 42, no. 4 (2009): 653–74. http://dx.doi.org/10.24033/asens.2105.

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Bonnafé, Cédric, and Radha Kessar. "On the endomorphism algebras of modular Gelfand–Graev representations." Journal of Algebra 320, no. 7 (2008): 2847–70. http://dx.doi.org/10.1016/j.jalgebra.2008.05.029.

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Dissertations / Theses on the topic "Modules de Gelfand-Graev"

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Dudas, Olivier. "Géométrie des variétés de Deligne-Lusztig, décompositions, cohomologie modulo \ell et représentations modulaires." Phd thesis, Université de Franche-Comté, 2010. http://tel.archives-ouvertes.fr/tel-00492848.

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Cette thèse porte sur la construction et l'étude des représentations modulaires des groupes réductifs finis. Comme dans le cas ordinaire, l'accent est mis sur les constructions de nature géométrique, obtenues à partir de la cohomologie des variétés de Deligne-Lusztig. On commence par introduire des méthodes de décomposition du type Deodhar, permettant de déterminer en toute généralité la présence d'une classe particulière de représentations, les modules de Gelfand-Graev, ainsi que certaines de leurs versions généralisées. Des résultats plus précis sont ensuite démontrés pour des variétés assoc
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Book chapters on the topic "Modules de Gelfand-Graev"

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"Jacquet modules corresponding to Gelfand - Graev characters of parabolically induced representations." In The Descent Map from Automorphic Representations of GL(n) to Classical Groups. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814304993_0005.

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