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Catalogue Information
Field name	Details
Dewey Class	512.2
Title	On Characters of Finite Groups ([EBook]) / by Michel Broué.
Author	Broué, Michel
Other name(s)	SpringerLink (Online service)
Publication	Singapore : : Springer Singapore : : Imprint: Springer, , 2017.
Physical Details	XVI, 246 p. 9 illus., 5 illus. in color. : online resource.
Series	Mathematical Lectures from Peking University 2197-4209
ISBN	9789811068782
Summary Note	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).:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-981-10-6878-2
Links to Related Works	Subject References: Category Theory, Homological Algebra . Category theory (Mathematics) . Group theory . Group Theory and Generalizations . Homological algebra . Mathematics . Authors: Broué, Michel . Corporate Authors: SpringerLink (Online service) . Series: Mathematical Lectures from Peking University . Classification: 512.2 .

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On Characters of Finite Groups

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