The Kazhdan-Lusztig cells in certain affine Weyl groups / / Jian-Yi Shi

• Autore: Shi Jian-Yi <1948->
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1986]; ©1986
• Edizione: 1st ed. 1986.
• Descrizione fisica: 1 online resource (XII, 312 p.)
• Disciplina: 510.8
• Soggetto topico: Automorphisms; Partitions (Mathematics); Weyl groups
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Coxeter groups, Hecke algebras and their representations -- Applications of Kazhdan-Lusztig theory -- Geometric interpretations of the Kazhdan-Lusztig polynomials -- The algebraic descriptions of the affine Weyl group An of type Ãn?1, n>2 -- The partition of n associated with an element of the affine Weyl group An -- A geometrical description of the affine Weyl group An -- Admissible sign types of rank n -- Iterated star operations and interchanging operations on blocks -- The subset ??1(?) of the affine Weyl group An -- The set N ? of normalized elements of ??1(?) -- The orbit space Ãn of the affine Weyl group An -- The sequence ?(w,k) beginning with an element of N ? -- Raising operations on layers -- The left and right cells in ??1(?) -- ??1(?) is an rl-equivalence class of An -- Left cells are characterized by the generalized right ?-invariant -- The two-sided cells of the affine Weyl group An -- Some properties of cells and other equivalence classes of An -- Some special kinds of sign types -- The inserting algorithm on the set C -- The restriction of the map on p n.
• Titolo autorizzato: Kazhdan-Lusztig cells in certain affine Weyl groups
• ISBN: 3-540-39780-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466487303316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1179