Kleshchëv, A. S. (Aleksandr Sergeevich)
Linear and projective representations of symmetric groups / Alexander Kleshchev.
— Cambridge, U.K. ; New York : Cambridge University Press, 2005. xiv, 277 p. : il. ; 24 cm. — (Cambridge tracts in mathematics ; 163)
Incluye referencias bibliográficas (p. 270-274) e índice.
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
ISBN 0521837030 (hardback). — ISBN 9780521104180 (paperback)
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