000 02248nam a22003858i 4500
001 CR9781108673655
003 UkCbUP
005 20200416205201.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 180813s2020||||enk o ||1 0|eng|d
020 _a9781108673655 (ebook)
020 _z9781108481489 (hardback)
020 _z9781108722629 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA387
_b.D54 2020
082 0 0 _a512/.482
_223
100 1 _aDigne, François,
_eauthor.
245 1 0 _aRepresentations of finite groups of Lie type /
_cFrançois Digne, Jean Michel.
250 _aSecond edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2020.
300 _a1 online resource (vii, 258 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon mathematical society student texts ;
_v95
500 _aTitle from publisher's bibliographic system (viewed on 14 Feb 2020).
520 _aOn its original publication, this book provided the first elementary treatment of representation theory of finite groups of Lie type in book form. This second edition features new material to reflect the continuous evolution of the subject, including entirely new chapters on Hecke algebras, Green functions and Lusztig families. The authors cover the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasise the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it, before moving on to a discussion of Deligne-Lusztig induction and Lusztig's Jordan decomposition theorem for characters. The book contains the background information needed to make it a useful resource for beginning graduate students in algebra as well as seasoned researchers. It includes exercises and explicit examples.
650 0 _aLie groups.
650 0 _aRepresentations of groups.
700 1 _aMichel, Jean,
_eauthor.
776 0 8 _iPrint version:
_z9781108481489
830 0 _aLondon mathematical society student texts ;
_v95.
856 4 0 _uhttps://doi.org/10.1017/9781108673655
999 _c528997
_d528995