000			02818nam a22003858i 4500
001			CR9780511525940
003			UkCbUP
005			20200124160240.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090406s2006||||enk o ||1 0|eng|d
020			_a9780511525940 (ebook)
020			_z9780521674546 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA387 _b.H85 2006
082	0	4	_a512.23 _222
100	1		_aHumphreys, James E., _eauthor.
245	1	0	_aModular representations of finite groups of Lie type / _cJames E. Humphreys.
264		1	_aCambridge : _bCambridge University Press, _c2006.
300			_a1 online resource (xv, 233 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v326
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_g1. _tFinite groups of Lie type -- _g2. _tSimple modules -- _g3. _tWeyl modules and Lusztig's conjecture -- _g4. _tComputation of weight multiplicities -- _g5. _tOther aspects of simple modules -- _g6. _tTensor products -- _g7. _tBN-pairs and induced modules -- _g8. _tBlocks -- _g9. _tProjective modules -- _g10. _tComparison with Frobenius kernels -- _g11. _tCartan invariants -- _g12. _tExtensions of simple modules -- _g13. _tLoewy series -- _g14. _tCohomology -- _g15. _tComplexity and support varieties -- _g16. _tOrdinary and modular representations -- _g17. _tDeligne-Lusztig characters -- _g18. _tgroups G[subscript 2](q) -- _g19. _tGeneral and special linear groups -- _g20. _tSuzuki and Ree groups.
520			_aFinite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. As a subtheme, the relationship between ordinary and modular representations is explored, in the context of Deligne-Lusztig characters. One goal has been to make the subject more accessible to those working in neighbouring parts of group theory, number theory, and topology. Core material is treated in detail, but the later chapters emphasize informal exposition accompanied by examples and precise references.
650		0	_aModular representations of groups.
650		0	_aRepresentations of Lie groups.
650		0	_aFinite simple groups.
710	2		_aLondon Mathematical Society, _eissuing body.
776	0	8	_iPrint version: _z9780521674546
830		0	_aLondon Mathematical Society lecture note series ; _v326.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511525940
999			_c518426 _d518424