國立虎尾科技大學 |

Representation theory of finite reductive groups /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Representation theory of finite reductive groups // Marc Cabanes, Michel Enguehard.
Author:	Cabanes, Marc,
other author:	Enguehard, Michel,
Description:	1 online resource (xvii, 436 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Finite groups. -
Online resource:	https://doi.org/10.1017/CBO9780511542763
ISBN:	9780511542763 (ebook)

Representation theory of finite reductive groups /
Cabanes, Marc,1959-

Representation theory of finite reductive groups /Marc Cabanes, Michel Enguehard. - 1 online resource (xvii, 436 pages) :digital, PDF file(s). - New mathematical monographs ;1. - New mathematical monographs ;31..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Representing Finite BN-Pairs --pt. I.

At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of étale cohomology, leading to the proof of the recent Bonnafé-Rouquier theorems. The second is a straightforward and simplified account of the Dipper-James theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors' version of Fong-Srinivasan theorems. Throughout the text is illustrated by many examples and background is provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists.

ISBN: 9780511542763 (ebook)Subjects--Topical Terms:

684448
Finite groups.

LC Class. No.: QA177 / .C33 2004

Dewey Class. No.: 512/.2

Representation theory of finite reductive groups /
LDR:02695nam a2200301 i 4500 001 1124820
003 UkCbUP
005 20151005020621.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2004||||enk o ||1 0|eng|d
020 $a 9780511542763 (ebook)
020 $z 9780521825177 (hardback)
035 $a CR9780511542763
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA177 $b .C33 2004
082 0 0 $a 512/.2 $2 21
100 1 $a Cabanes, Marc, $d 1959- $e author. $3 1442608
245 1 0 $a Representation theory of finite reductive groups / $c Marc Cabanes, Michel Enguehard.
264 1 $a Cambridge : $b Cambridge University Press, $c 2004.
300 $a 1 online resource (xvii, 436 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a New mathematical monographs ; $v 1
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 $g pt. I. $t Representing Finite BN-Pairs -- $g 1. $t Cuspidality in finite groups -- $g 2. $t Finite BN-pairs -- $g 3. $t Modular Hecke algebras for finite BN-pairs -- $g 4. $t The modular duality functor and derived category -- $g 5. $t Local methods for the transversal characteristics -- $g 6. $t Simple modules in the natural characteristic -- $g pt. II. $t Deligne-Lusztig Varieties, Rational Series, and Morita Equivalences -- $g 7. $t Finite reductive groups and Deligne -Lusztig varieties -- $g 8. $t Characters of finite reductive groups -- $g 9. $t Blocks of finite reductive groups and rational series -- $g 10. $t Jordan decomposition as a Morita equivalence: the main reductions -- $g 11. $t Jordan decomposition as a Morita equivalence: sheaves.
520 $a At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of étale cohomology, leading to the proof of the recent Bonnafé-Rouquier theorems. The second is a straightforward and simplified account of the Dipper-James theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors' version of Fong-Srinivasan theorems. Throughout the text is illustrated by many examples and background is provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists.
650 0 $a Finite groups. $3 684448
650 0 $a Representations of groups. $3 672181
700 1 $a Enguehard, Michel, $e author. $3 1442609
776 0 8 $i Print version: $z 9780521825177
830 0 $a New mathematical monographs ; $v 31. $3 1238333
856 4 0 $u https://doi.org/10.1017/CBO9780511542763