000 | 03268nam a22004815i 4500 | ||
---|---|---|---|
001 | 978-981-10-6878-2 | ||
003 | DE-He213 | ||
005 | 20181204134419.0 | ||
007 | cr nn 008mamaa | ||
008 | 171229s2017 si | s |||| 0|eng d | ||
020 |
_a9789811068782 _9978-981-10-6878-2 |
||
024 | 7 |
_a10.1007/978-981-10-6878-2 _2doi |
|
040 | _aISI Library, Kolkata | ||
050 | 4 | _aQA174-183 | |
072 | 7 |
_aPBG _2bicssc |
|
072 | 7 |
_aMAT002010 _2bisacsh |
|
072 | 7 |
_aPBG _2thema |
|
082 | 0 | 4 |
_a512.2 _223 |
100 | 1 |
_aBroué, Michel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aOn Characters of Finite Groups _h[electronic resource] / _cby Michel Broué. |
264 | 1 |
_aSingapore : _bSpringer Singapore : _bImprint: Springer, _c2017. |
|
300 |
_aXVI, 246 p. 9 illus., 5 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aMathematical Lectures from Peking University, _x2197-4209 |
|
505 | 0 | _aTensor Product.-On Representation.-Characteristic 0 representations.-Playing with the base field -- Induction, restriction -- Brauer's theorem and some applications -- Graded representations and characters -- Drinfeld Double -- Appendix A. Basics on Finite Groups -- Appendix B. Assumed results on Galois theory -- Appendix C. Integral elements -- Appendix D. Noetherian rings and modules -- Appendix E. The language of categories and functors -- Bibliography 211.-Index. | |
520 | _aThis book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books that focus almost exclusively on groups. The book presents the basic tools, notions and theorems of character theory (including a new treatment of the control of fusion and isometries), and introduces readers to the categorical language at several levels. It includes and proves the major results on characteristic zero representations without any assumptions about the base field. The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z). | ||
650 | 0 | _aGroup theory. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 | 2 | 4 |
_aCategory Theory, Homological Algebra. _0http://scigraph.springernature.com/things/product-market-codes/M11035 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9789811068775 |
776 | 0 | 8 |
_iPrinted edition: _z9789811068799 |
830 | 0 |
_aMathematical Lectures from Peking University, _x2197-4209 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-10-6878-2 |
912 | _aZDB-2-SMA | ||
942 | _cEB | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c427117 _d427117 |