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Please use this identifier to cite or link to this item: http://hdl.handle.net/10805/1348

Title: On the top coefficients of Kazhdan-Lusztig polynomials
Authors: BOSCA, CORRADO
Keywords: special matching
Kazhdan-Lusztig polynomials
Issue Date: 16-Feb-2012
Abstract: Kazhdan and Lusztig in 1979 defined, for any Coxeter group W, a family of polynomial that is know as Kazhdan-Lusztig polynomials. These polynomials are indexed by pairs of elements of W and they have fundamental importance in several areas of mathematics as representation theory, geometry, combinatorics and topology of Schubert varieties. In this paper we want to show the combinatorial connection between special matchings and the top coefficient of Kazhdan-Lusztig polynomial. In particular we study a Conjecture, due to Brenti, in different Coxeter groups and pair of elements.
URI: http://hdl.handle.net/10805/1348
Research interests: I miei interessi principali sono rivolti all'algebra e in particolare alla combinatoria. Continuando il lavoro che ha portato alla stesura della tesi, sto ricercando connessioni tra i coefficienti di grado massimo dei polinomi di Kazhdan-Lusztig e gli special matching. Per fare questo mi sto interessando attualmente allo studio dei gruppi di Coxeter e di argomenti relativi alla teoria dei grafi.
Appears in PhD:MATEMATICA

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