Alexander Kleshchev

Linear and Projective Representations of Symmetric Groups

• Broschiertes Buch

Produktbeschreibung

Kleshchev describes a new approach to the subject of the representation theory of symmetric groups.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 292
• Erscheinungstermin: 1. November 2008
• Englisch
• Abmessung: 229mm x 152mm x 17mm
• Gewicht: 478g
• ISBN-13: 9780521104180
• ISBN-10: 0521104181
• Artikelnr.: 25686832

Autorenporträt

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

Inhaltsangabe

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.