More on the combinatorial invariance of Kazhdan-Lusztig polynomials |
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Authors: | Federico Incitti |
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Institution: | Department of Mathematics, Royal Institute of Technology, 10044 Stockholm, Sweden |
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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 intervals of length 7 in type A and of length 5 in types B and D, which are not lattices. |
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Keywords: | Classical Weyl group Bruhat order Kazhdan-Lusztig polynomial R-polynomial Combinatorial invariance conjecture |
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