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More on the combinatorial invariance of Kazhdan-Lusztig polynomials
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2007 (English)In: Journal of combinatorial theory. Series A (Print), ISSN 0097-3165, E-ISSN 1096-0899, Vol. 114, no 3, 461-482 p.Article in journal (Refereed) Published
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
2007. Vol. 114, no 3, 461-482 p.
Keyword [en]
classical Weyl group, Bruhat order, Kazhdan-Lusztig polynomial, R-polynomial, combinatorial invariance conjecture
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-37041DOI: 10.1016/j.jcta.2006.06.009ISI: 000245523400005Scopus ID: 2-s2.0-33846798028OAI: oai:DiVA.org:kth-37041DiVA: diva2:431880
Available from: 2011-07-26 Created: 2011-07-26 Last updated: 2017-12-08Bibliographically approved

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