Tilting modules and the p-canonical basis /

Tilting modules and the p-canonical basis /

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Bibliographic Details
Author / Creator:	Riche, Simon, 1982- author.
Imprint:	Paris : Société mathématique de France, 2018.
Description:	ix, 184 pages : illustrations ; 24 cm.
Language:	English
Series:	Astérisque, 0303-1179 ; 397 Astérisque ; 397.
Subject:	Linear algebraic groups. Geometry, Algebraic. Representations of algebras. Hecke algebras. Weyl groups. Kac-Moody algebras. Geometry, Algebraic. Hecke algebras. Kac-Moody algebras. Linear algebraic groups. Representations of algebras. Weyl groups.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11661258

Hidden Bibliographic Details
Other authors / contributors:	Williamson, Geordie, 1981- author.
ISBN:	9782856298800 285629880X
Notes:	Includes bibliographical references (pages 179-184). Text in in English; abstract is in English and French.
Summary:	"In this book we propose a new approach to tilting modules for reductive algebraic groups in positive characteristic. We conjecture that translation functors give an action of the (diagrammatic) Hecke category of the affine Weyl group on the principal block. Our conjecture implies character formulas for the simple and tilting modules in terms of the p-canonical basis, as well as a description of the principal block as the antispherical quotient of the Hecke category. We prove our conjecture for GL_n(K) using the theory of 2-Kac-Moody actions. Finally, we prove that the diagrammatic Hecke category of a general crystallographic Coxeter group may be described in terms of parity complexes on the flag variety of the corresponding Kac-Moody group."--Back cover

Eckhart

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Call Number:	QA179.R53 2018
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