TY - BOOK ID - 77900543 TI - Representations and characters of groups AU - James, G. D. AU - Liebeck, M. W. PY - 2001 SN - 1107125421 1139636928 1283871033 1139811649 0511045247 0511814534 051115478X 0511017006 9780511017001 0521812054 9780521812054 052100392X 9780521003926 9780511814532 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Representations of groups. KW - Group representation (Mathematics) KW - Groups, Representation theory of KW - Group theory KW - 512.542 KW - 512.542 Finite groups KW - Finite groups KW - Representations of groups UR - https://www.unicat.be/uniCat?func=search&query=sysid:77900543 AB - This 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. ER -