000 02316nam a22003858i 4500
001 CR9781316677216
003 UkCbUP
005 20200124160211.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 151222s2016||||enk o ||1 0|eng|d
020 _a9781316677216 (ebook)
020 _z9781107162396 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA177
_b.W43 2016
082 0 0 _a512/.23
_223
100 1 _aWebb, Peter,
_d1954-
_eauthor.
245 1 2 _aA course in finite group representation theory /
_cPeter Webb, University of Minnesota.
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xi, 325 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v161
500 _aTitle from publisher's bibliographic system (viewed on 08 Aug 2016).
520 _aThis graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
650 0 _aFinite groups
_vTextbooks.
650 0 _aGroup theory
_vTextbooks.
650 0 _aModules (Algebra)
_vTextbooks.
650 0 _aRepresentations of groups
_vTextbooks.
650 0 _aRings (Algebra)
_vTextbooks.
776 0 8 _iPrint version:
_z9781107162396
830 0 _aCambridge studies in advanced mathematics ;
_v161.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316677216
999 _c515842
_d515840