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... > Lire la suite
Plus d'un million de livres disponibles
Retrait gratuit en magasin
Livraison à domicile sous 24h/48h* * si livre disponible en stock, livraison payante
48,14 €
Expédié sous 6 à 12 jours
ou
À retirer gratuitement en magasin U entre le 11 octobre et le 18 octobre
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 isometrics), 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 indudes 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 GL2(Z).