Title Filtrations and buildings / Christophe Cornut

Published Providence, RI : American Mathematical Society, [2020] ©2020

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Description 1 online resource (162 pages) Series Memoirs of the American Mathematical Society, 0065-9266 ; number 1296 Contents Chapter 1. Introduction Chapter 2. The group theoretical formalismhapter:GroupThForm Chapter 3. The Tannakian formalism Chapter 4. The vectorial Tits building $\mathbf F̂\Gamma (G)$hap:VectTitsBuild Chapter 5. Affine $\mathbf F(G)$-buildings Chapter 6. Bruhat-Tits buildings Summary "We construct and study a scheme theoretical version of the Tits vectorial building, relate it to filtrations on fiber functors, and use them to clarify various constructions pertaining to affine Bruhat-Tits buildings, for which we also provide a Tannakian description"-- Provided by publisher Notes "Forthcoming, volume 266, number 1296 Bibliography Includes bibliographical references Notes Description based on print version record Subject Buildings (Group theory) Filters (Mathematics) Monoids. Categories (Mathematics) Group schemes (Mathematics) Categorías (Matemáticas) Teoría de grupos Buildings (Group theory) Categories (Mathematics) Filters (Mathematics) Group schemes (Mathematics) Monoids Algebraic geometry -- Algebraic groups {For linear algebraic groups, see 20Gxx; for Lie algebras, see 17B45} -- Group schemes. Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for. Group theory and generalizations -- Structure and classification of infinite or finite groups -- Groups with a $BN$-pair; buildings [See also 51E24]. Group theory and generalizations -- Linear algebraic groups and related topics {For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation the. Geometry {For algebraic geometry, see 14-XX} -- Finite geometry and special incidence structures -- Buildings and the geometry of diagrams. Form Electronic book LC no. 2020032326 ISBN 1470462559 9781470462550

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