000 02632nam a22004455i 4500
001 978-1-4614-1231-1
003 DE-He213
005 20140220083241.0
007 cr nn 008mamaa
008 111207s2012 xxu| s |||| 0|eng d
020 _a9781461412311
_9978-1-4614-1231-1
024 7 _a10.1007/978-1-4614-1231-1
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
082 0 4 _a512.2
_223
100 1 _aSengupta, Ambar N.
_eauthor.
245 1 0 _aRepresenting Finite Groups
_h[electronic resource] :
_bA Semisimple Introduction /
_cby Ambar N. Sengupta.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2012.
300 _aXIV, 369p. 12 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aThis graduate textbook presents the basics of representation theory for finite groups from the point of view of semisimple algebras and modules over them. The presentation interweaves insights from specific examples with development of general and powerful tools based on the notion of semisimplicity. The elegant ideas of commutant duality are introduced, along with an introduction to representations of unitary groups. The text progresses systematically and the presentation is friendly and inviting. Central concepts are revisited and explored from multiple viewpoints. Exercises at the end of the chapter help reinforce the material. Representing Finite Groups: A Semisimple Introduction would serve as a textbook for graduate and some advanced undergraduate courses in mathematics. Prerequisites include acquaintance with elementary group theory and some familiarity with rings and modules. A final chapter presents a self-contained account of notions and results in algebra that are used. Researchers in mathematics and mathematical physics will also find this book useful. A separate solutions manual is available for instructors.
650 0 _aMathematics.
650 0 _aGroup theory.
650 0 _aQuantum theory.
650 1 4 _aMathematics.
650 2 4 _aGroup Theory and Generalizations.
650 2 4 _aQuantum Physics.
650 2 4 _aApplications of Mathematics.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461412304
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-1231-1
912 _aZDB-2-SMA
999 _c101022
_d101022