000 01840cam a22002534a 4500
001 13222592
005 20250611112643.0
008 030603s2004 enk b 001 0 eng
020 _a9780521825177
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB271 P4 NBHM
_qCSL
100 1 _aCabanes, Marc,
_eauthor.
_9812568
245 1 0 _aRepresentation theory of finite reductive groups
260 _aCambridge ;
_bCambridge University Press,
_c2004.
300 _axvii, 436 p. ;
_c24 cm.
440 0 _aNew mathematical monographs ;
_v1
_9812569
504 _aIncludes bibliographical references (p. 422-430) and index.
520 _aAt 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 _aFinite groups.
_9439386
650 0 _aRepresentations of groups.
_9714562
700 1 _aEnguehard, Michel.
_eauthor.
_9812570
942 _2CC
_n0
_cTEXL
_hB271 P4 NBHM
999 _c1431598
_d1431598