ENGLISH

Representations of Algebraic Groups

By Jens Carsten Jantzen

Book information

Publisher
Academic Press
Year
1987
ISBN
0123802458, 9780123802453
LCC
QA3 .P8 vol. 131,QA171 .P8 vol. 131
Language
english
Format
PDF
Filesize
18 MB (18944786 bytes)
Series
Pure and Applied Mathematics Academic Pr
Pages
465\465
Topic
Mathematics Algebra
Time added
2011-01-06 10:13:16

Description

Back in print from the AMS, the first part of this book is an introduction to the general theory of representations of algebraic group schemes. Here, Janzten 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 and 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. This is a significantly revised edition of a modern classic. The author has added nearly 150 pages of new material describing later developments and has made major revisions to parts of the old text. It continues to be the ultimate source of information on representations of algebraic groups in finite characteristics.

Similar books