Representations of SL2(Fq) (Registro nro. 198381)

MARC details
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007 - CAMPO FIJO DE DESCRIPCIÓN FIJA--INFORMACIÓN GENERAL
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020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS
International Standard Book Number 9780857291578
-- 978-0-85729-157-8
040 ## - FUENTE DE CATALOGACIÓN
Transcribing agency MX-MeUAM
050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO
Classification number QA150-272
082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY
Classification number 512
Edition number 23
100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL
Personal name Bonnafé, Cédric.
Relator term author.
245 10 - MENCIÓN DE TITULO
Title Representations of SL2(Fq)
Medium [recurso electrónico] /
Statement of responsibility, etc. by Cédric Bonnafé.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture London :
Name of producer, publisher, distributor, manufacturer Springer London,
Date of production, publication, distribution, manufacture, or copyright notice 2011.
300 ## - DESCRIPCIÓN FÍSICA
Extent XXII, 186 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
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490 1# - MENCIÓN DE SERIE
Series statement Algebra and Applications ;
Volume/sequential designation 13
505 0# - NOTA DE CONTENIDO
Formatted contents note Part I Preliminaries -- Structure of SL2(Fq) -- The Geometry of the Drinfeld Curve -- Part II Ordinary Characters -- Harish-Chandra Induction -- Deligne-Lusztig Induction -- The Character Table -- Part III Modular Representations -- More about Characters of G and of its Sylow Subgroups -- Unequal Characteristic: Generalities -- Unequal Characteristic: Equivalences of Categories -- Unequal Characteristic: Simple Modules, Decomposition Matrices -- Equal Characteristic -- Part IV Complements -- Special Cases -- Deligne-Lusztig Theory: an Overview -- Part V Appendices -- A l-Adic Cohomology -- B Block Theory -- C Review of Reflection Groups.
520 ## - NOTA DE RESUMEN, ETC.
Summary, etc. Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial example, namely the group SL2(Fq), which not only provide the simplicity required for a complete description of the theory, but also the richness needed for illustrating the most delicate aspects. The development of Deligne-Lusztig theory was inspired by Drinfeld's example in 1974, and Representations of SL2(Fq) is based upon this example, and extends it to modular representation theory. To this end, the author makes use of fundamental results of l-adic cohomology. In order to efficiently use this machinery, a precise study of the geometric properties of the action of SL2(Fq) on the Drinfeld curve is conducted, with particular attention to the construction of quotients by various finite groups. At the end of the text, a succinct overview (without proof) of Deligne-Lusztig theory is given, as well as links to examples demonstrated in the text. With the provision of both a gentle introduction and several recent materials (for instance, Rouquier's theorem on derived equivalences of geometric nature), this book will be of use to graduate and postgraduate students, as well as researchers and lecturers with an interest in Deligne-Lusztig theory.
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650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Mathematics.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Algebra.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Geometry, algebraic.
650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Group theory.
650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Mathematics.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Algebra.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Algebraic Geometry.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Group Theory and Generalizations.
710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
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Title Springer eBooks
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Relationship information Printed edition:
International Standard Book Number 9780857291561
830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME
Uniform title Algebra and Applications ;
Volume number/sequential designation 13
856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS
Public note Libro electrónico
Uniform Resource Identifier <a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-85729-157-8">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-85729-157-8</a>
942 ## - TIPO DE MATERIAL (KOHA)
Koha item type Libro Electrónico
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