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Representations of Algebraic Groups
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Bibliographic Detail
Publisher Amer Mathematical Society
Publication date November 1, 2003
Pages 576
Binding Hardcover
Edition 2
Book category Adult Non-Fiction
ISBN-13 9780821835272
ISBN-10 0821835270
Dimensions 1.50 by 7 by 9.75 in.
Weight 2.65 lbs.
Availability§ Out of Print
Original list price $99.00
§As reported by publisher
Summaries and Reviews
Amazon.com description: Product Description: 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.

Editions
Hardcover
Book cover for 9780123802453 Book cover for 9780821835272
 
The price comparison is for this edition
2 edition from Amer Mathematical Society (November 1, 2003)
9780821835272 | details & prices | 576 pages | 7.00 × 9.75 × 1.50 in. | 2.65 lbs | List price $99.00
About: Now back in print by the AMS, this is a significantly revised edition of a book originally published in 1987 by Academic Press.
from Academic Pr (June 1, 1987)
9780123802453 | details & prices | 6.50 × 9.50 × 1.00 in. | 1.75 lbs | List price $107.00
About: 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.
Paperback
Book cover for 9780821843772
 
2 edition from Amer Mathematical Society (August 1, 2007)
9780821843772 | details & prices | 576 pages | 6.75 × 9.75 × 1.25 in. | 1.15 lbs | List price $104.00
About: 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.

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