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New results on the combinatorial invariance of Kazhdan-Lusztig polynomials
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2006 (English)In: FPSAC - Proc.: Annu. Int. Conf. Form. Power Ser. Algebraic Comb., 2006, 478-489 p.Conference paper, Published paper (Refereed)
Abstract [en]

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 intervals of length 7 in type A and of length 5 in types B and D, which are not lattices.

Place, publisher, year, edition, pages
2006. 478-489 p.
Series
FPSAC 2006 - Proceedings: 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics
Keyword [en]
Bruhat order, Classical weyl group, Combinatorial invariance conjecture, Kazhdan-Lusztig polynomial, R-polynomial, Complete classification, Coxeter groups, New results, Weyl group, Polynomials, Combinatorial mathematics
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-155076Scopus ID: 2-s2.0-84860639370OAI: oai:DiVA.org:kth-155076DiVA: diva2:760931
Conference
18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006, 19-23 June 2006, San Diego, CA, USA
Note

QC 20141105

Available from: 2014-11-05 Created: 2014-10-30 Last updated: 2014-11-05Bibliographically approved

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  • apa
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Output format
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