03526nam 22005895 450 991025429530332120200703092126.0981-10-6878-X10.1007/978-981-10-6878-2(CKB)4100000001381599(DE-He213)978-981-10-6878-2(MiAaPQ)EBC6314845(MiAaPQ)EBC5576560(Au-PeEL)EBL5576560(OCoLC)1018471569(PPN)222226110(EXLCZ)99410000000138159920171229d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierOn Characters of Finite Groups /by Michel Broué1st ed. 2017.Singapore :Springer Singapore :Imprint: Springer,2017.1 online resource (XVI, 246 p. 9 illus., 5 illus. in color.) Mathematical Lectures from Peking University,2197-4209981-10-6877-1 Includes bibliographical references and index.Tensor 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.This 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).Mathematical Lectures from Peking University,2197-4209Group theoryCategory theory (Mathematics)Homological algebraGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035Group theory.Category theory (Mathematics).Homological algebra.Group Theory and Generalizations.Category Theory, Homological Algebra.512.2Broué Michelauthttp://id.loc.gov/vocabulary/relators/aut478936MiAaPQMiAaPQMiAaPQBOOK9910254295303321On Characters of Finite Groups1563079UNINA