000			01650 a2200205 4500
999			_c54416 _d54416
008			210324b ||||| |||| 00| 0 eng d
020			_a9781108489621
082			_a512.482 _bGEC
100			_aGeck, Meinolf
245			_aCharacter theory of finite groups of Lie type : a guided tour
260			_bCambridge University Press, _c2020. _aCambridge:
300			_aix, 394 p : ill ; _bhb, _e24 cm _fGBP
440			_a Cambridge studies in advanced mathematics ; 187.
504			_aIncludes bibliographical references and index.
520			_aThrough the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne-Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish-Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.
650			_aFinite groups
650			_aAlgebra
650			_aMathematics
942			_2ddc _cTD