![[Cherubino]](http://www.mat.uniroma1.it/~combinat/images/cherubino.gif)
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Quaderni Elettronici del Seminario di Geometria Combinatoria
23E (Marzo 2006), 1--12
Università degli Studi di Roma "La Sapienza" - Dipartimento di
Matematica
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Federico INCITTI
New results on the combinatorial invariance of
Kazhdan-Lusztig polynomials
(Marzo 2006)
Abstract. We prove that the Kazhdan-Lusztig polynomials are
combinatorial invariants for intervals up to length 8 in Coxeter groups of
type A and up to length 6 in Coxeter groups of type B and D. As a
consequence of our methods, we also obtain a complete classification, up
to isomorphism, of Bruhat interval of length 7 in type A and of length 5
in type B and D which are not lattices.
AMS Subject Classification: 05E15, 20F55.
Keywords: Classical Weyl group, Bruhat order, Keywords: Classical Weyl
group, Bruhat order,
Kazhdan-Lusztig polynomial, R-polynomial, combinatorial invariance
conjecture.
Authors:
- Federico Incitti
- Department of Mathematics - Royal Institute of Technology
10044 Stockholm, Sweden
e-mail: incitti_AT_kth.se
The following versions are available: