Representations of Algebraic Groups: No. 107 - Rilegato

Jantzen, Jens Carsten

Rilegato

ISBN 10: 0821835270 ISBN 13: 9780821835272

Casa editrice: Amer Mathematical Society, 2004

Riassunto

Now back in print by the AMS, this is a significantly revised edition of a book originally published in 1987 by Academic Press. This book gives the reader an introduction to the theory of algebraic representations of reductive algebraic groups. To develop appropriate techniques, the first part of the book is an introduction to the general theory of representations of algebraic group schemes. Here, the author describes important basic notions: induction functors, cohomology, quotients, Frobenius kernels, and reduction mod $p$, among others. The second part of the book is devoted to the representation theory of reductive algebraic groups. It includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and line bundles on them. For this revised edition the author added nearly 150 pages of new material describing some later developments, among them Schur algebras, Lusztig's conjecture and Kazhdan-Lusztig polynomials, tilting modules, and representations of quantum groups. He also made major revisions to parts of the old text. Jantzen's book continues to be the ultimate source of information on representations of algebraic groups in finite characteristics. It is suitable for graduate students and research mathematicians interested in algebraic groups and their representations.

Su questo libro

Product Description:

Book by Jantzen Jens Carsten

Su questa edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2004
• ISBN 10: 0821835270
• ISBN 13: 9780821835272
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 576