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Representation theory of finite reductive groups /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512/.2
書名/作者:	Representation theory of finite reductive groups // Marc Cabanes, Michel Enguehard.
作者:	Cabanes, Marc,
其他作者:	Enguehard, Michel,
面頁冊數:	1 online resource (xvii, 436 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Finite groups.
標題:	Representations of groups.
ISBN:	9780511542763 (ebook)
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1017/CBO9780511542763

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 ;3..

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:

381181
Finite groups.

LC Class. No.: QA177 / .C33 2004

Dewey Class. No.: 512/.2

Representation theory of finite reductive groups /
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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.
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650 0 $a Representations of groups. $3 403691
700 1 $a Enguehard, Michel, $e author. $3 643053
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