Cambridge Studies in Advanced Mathematic The Character Theory of Finite Groups of Lie Type: A Guided Tour Book 187 Hardcover from other stores

  • Through the fundamental work of Deligne and Lusztig in the 1970s further devel... Through 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... more
  • Originating from a summer school taught by the authors this concise treatment ... Originating from a summer school taught by the authors this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups culminating in the classification of... more
  • Representation theory and character theory have proved essential in the study ... Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced... more
  • Representation theory and character theory have proved essential in the study ... Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced... more
  • This is the first of two volumes providing an introduction to modern developme... This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras which have transformed the subject into a study of categories of modules. Thus Dr. Benson s... more
  • This second edition develops the foundations of finite group theory. For stude... This second edition develops the foundations of finite group theory. For students already exposed to a first course in algebra it serves as a text for a course on finite groups. For the reader with some mathematical sophistication but limited... more
  • This graduate-level text provides a thorough grounding in the representation t... This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject detailing the methods needed to analyze representations... more
  • This second edition develops the foundations of finite group theory. For stude... This second edition develops the foundations of finite group theory. For students already exposed to a first course in algebra it serves as a text for a course on finite groups. For the reader with some mathematical sophistication but limited... more
  • This is the first of two volumes providing an introduction to modern developme... This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras which have transformed the subject into a study of categories of modules. Thus Dr. Benson s... more
  • This is the first of two volumes providing an introduction to modern developme... This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras which have transformed the subject into a study of categories of modules. Thus Dr. Benson s... more
  • There has been no exposition of group representations and harmonic analysis su... There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this the first of two projected volumes the authors remedy the situation by surveying all the basic theory developed... more
  • Originating from a summer school taught by the authors this concise treatment ... Originating from a summer school taught by the authors this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups culminating in the classification of... more
  • Representation theory has applications to number theory combinatorics and many... Representation theory has applications to number theory combinatorics and many areas of algebra. The aim of this text is to present some of the key results in the representation theory of finite groups. Professor Alperin concentrates on local... more
  • Starting from a few concrete problems such as random walks on the discrete cir... Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. Its topics range from the basic theory needed... more
  • Starting from a few concrete problems such as random walks on the discrete cir... Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. Its topics range from the basic theory needed... more
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