In 1979 Kazhdan and Lusztig defined, for every Coxeter group W, a family of polynomials, indexed by pairs of elements of W, which have become known as the Kazhdan-Lusztig polynomials of W, and which have proven to be of importance in several areas of mathematics. In this paper, we show that the combinatorial concept of a special matching plays a fundamental role in the computation of these polynomials. Our results also imply, and generalize, the recent one in [Adv. in Math. 180 (2003) 146-175] on the combinatorial invariance of Kazhdan-Lusztig polynomials. (c) 2005 Elsevier Inc. All rights reserved.

Brenti, F., Caselli, F., & Marietti, M. (2006). Special matchings and Kazhdan-Lusztig polynomials. ADVANCES IN MATHEMATICS, 202(2), 555-601 [10.1016/j.aim.2005.01.011].

Special matchings and Kazhdan-Lusztig polynomials

BRENTI, FRANCESCO;
2006

Abstract

In 1979 Kazhdan and Lusztig defined, for every Coxeter group W, a family of polynomials, indexed by pairs of elements of W, which have become known as the Kazhdan-Lusztig polynomials of W, and which have proven to be of importance in several areas of mathematics. In this paper, we show that the combinatorial concept of a special matching plays a fundamental role in the computation of these polynomials. Our results also imply, and generalize, the recent one in [Adv. in Math. 180 (2003) 146-175] on the combinatorial invariance of Kazhdan-Lusztig polynomials. (c) 2005 Elsevier Inc. All rights reserved.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - Geometria
English
Bruhat order; Coxeter groups; Kazhdan-Lusztig polynomials; Special matching
Brenti, F., Caselli, F., & Marietti, M. (2006). Special matchings and Kazhdan-Lusztig polynomials. ADVANCES IN MATHEMATICS, 202(2), 555-601 [10.1016/j.aim.2005.01.011].
Brenti, F; Caselli, F; Marietti, M
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/38826
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