Filtrations and buildings /

"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"--

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cornut, Christophe, 1972- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2020]
Colección:Memoirs of the American Mathematical Society, number 1296
Temas:
Buildings (Group theory)
Filters (Mathematics)
Monoids.
Categories (Mathematics)
Group schemes (Mathematics)
Immeubles (Théorie des groupes)
Filtres (Mathématiques)
Monoïdes.
Catégories (Mathématiques)
Schémas en groupes.
Categorías (Matemáticas)
Teoría de grupos
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.
Acceso en línea:Texto completo
Descripción
Sumario:"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"--
Notas:"Forthcoming, volume 266, number 1296.
Descripción Física:1 online resource (162 pages)
Bibliografía:Includes bibliographical references.
ISBN:1470462559
9781470462550
ISSN:0065-9266 ;

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