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008 121226b xxu||||| |||| 00| 0 eng d
020 _a052100392x
040 _ctshering
082 _a512.22 JAM
100 _aJames, Gordon.
245 _aRepresentations and characters of groups /
_cG D James; M W Liebeck
250 _a2nd ed.
260 _aTrumpington Street :
_aUnited Kingdom :
_bCambridge University press,
_c2001.
300 _aviii, 458 p. :
_bill. ;
_c22.6 cm.
504 _aIncludes bibliography and index.
520 _aThis book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.
650 _aRepresentations of groups.
650 _aMATHEMATICS
_vGroup Theory.
700 _aLiebeck, Martin.
942 _2ddc
_cBK
999 _c4987
_d4987