The Character Theory of Finite Groups of Lie Type - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Character Theory of Finite Groups of Lie Type write by Meinolf Geck. This book was released on 2020-02-27. The Character Theory of Finite Groups of Lie Type available in PDF, EPUB and Kindle. 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 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.
The Character Theory of Finite Groups of Lie Type
The Character Theory of Finite Groups of Lie Type - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Character Theory of Finite Groups of Lie Type write by Meinolf Geck. This book was released on 2020-02-27. The Character Theory of Finite Groups of Lie Type available in PDF, EPUB and Kindle. A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.
Representations of Finite Groups of Lie Type
Representations of Finite Groups of Lie Type - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Finite Groups of Lie Type write by François Digne. This book was released on 2020-03-05. Representations of Finite Groups of Lie Type available in PDF, EPUB and Kindle. An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.
Linear Algebraic Groups and Finite Groups of Lie Type
Linear Algebraic Groups and Finite Groups of Lie Type - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Algebraic Groups and Finite Groups of Lie Type write by Gunter Malle. This book was released on 2011-09-08. Linear Algebraic Groups and Finite Groups of Lie Type available in PDF, EPUB and Kindle. 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 semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.
Finite Groups of Lie Type
Finite Groups of Lie Type - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Groups of Lie Type write by Roger W. Carter. This book was released on 1993-08-24. Finite Groups of Lie Type available in PDF, EPUB and Kindle. The finite groups of Lie type are of basic importance in the theory of groups. A classic in its field, this book presents the theories of finite groups of Lie type in a clear and accessible style, especially with regard to the main concepts of the theory and the techniques of proof used, and gives a detailed exposition of the complex representation theory.
