Name: Linear and Projective Representations of Symmetric Groups By Alexander Kleshchev (University of Oregon)
SKU: 9780521104180
Price: 65.99 USD
Availability: InStock

Linear and Projective Representations of Symmetric Groups Summary

Linear and Projective Representations of Symmetric Groups by Alexander Kleshchev (University of Oregon)

The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject.

Linear and Projective Representations of Symmetric Groups Reviews

The book is written with great care and in a dense style... The author has mastered a very difficult task in writing this book and has enriched the literature on the symmetric groups with a unique and very valuable monograph, making the formidable recent developments more widely accessible by starting the presentation from scratch. Christine Bessenrodt, Mathematical Reviews

About Alexander Kleshchev (University of Oregon)

Alexander Kleshchev is a Professor of Mathematics at the University of Oregon.

Preface; Part I. Linear Representations: 1. Notion and generalities; 2. Symmetric groups I; 3. Degenerate affine Hecke algebra; 4. First results on Hn modules; 5. Crystal operators; 6. Character calculations; 7. Integral representations and cyclotomic Hecke algebras; 8. Functors e and f; 9. Construction of Uz and irreducible modules; 10. Identification of the crystal; 11. Symmetric groups II; Part II. Projective Representations: 12. Generalities on superalgebra; 13. Sergeev superalgebras; 14. Affine Sergeev superalgebras; 15. Integral representations and cyclotomic Sergeev algebras; 16. First results on Xn modules; 17. Crystal operators fro Xn; 18. Character calculations for Xn; 19. Operators e and f; 20. Construction of Uz and irreducible modules; 21. Identification of the crystal; 22. Double covers; References; Index.

Additional information

Sku

NLS9780521104180

ISBN 13

9780521104180

ISBN 10

0521104181

Title

Linear and Projective Representations of Symmetric Groups by Alexander Kleshchev (University of Oregon)

Author

Alexander Kleshchev (University of Oregon)

Series

Cambridge Tracts in Mathematics

Condition

New

Binding type

Paperback

Publisher

Cambridge University Press

Year published

2009-03-19

Number of pages

292

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Linear and Projective Representations of Symmetric Groups Alexander Kleshchev (University of Oregon)

Linear and Projective Representations of Symmetric Groups by Alexander Kleshchev (University of Oregon)

Summary

Linear and Projective Representations of Symmetric Groups Summary

Linear and Projective Representations of Symmetric Groups by Alexander Kleshchev (University of Oregon)

Linear and Projective Representations of Symmetric Groups Reviews

About Alexander Kleshchev (University of Oregon)

Table of Contents

Additional information

Customer Reviews - Linear and Projective Representations of Symmetric Groups