Linear and projective representations of symmetric groups
Alexander Kleshchev.
Cambridge, U.K. ; New York : Cambridge University Press, 2005.
xiv, 277 págs. : ilustraciones ; 24 cm.
Serie: Cambridge tracts in mathematics ; 163
ISBN: 0521837030 (hardback), 9780521104180 (paperback)
Incluye referencias bibliográficas (p. 270-274) e índice.
Reseña: MathSciNet, 2007b:20022
Contenido
- Introduction; Part I. Linear Representations: 1. Notations 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 ei and fi; 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 on Xn; 18. Character calculations for Xn ; 19. Operators ei and fi ; 20. Construction of UZ + and irreducible modules; 21. Identification of the crystal; 22. Double covers
