A simple-product formula for certain Kazhdan-Lusztig R-polynomials

Pagliacci, Michela (2002) A simple-product formula for certain Kazhdan-Lusztig R-polynomials. UNSPECIFIED. (Unpublished)

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    Abstract

    We obtain a simple product formula for the Kazhdan-Lusztig R-polynomials, Ru,v(q)indexed by permutations "u,v" in the case that v is obtained from u applying two transpositions (i,j) and (k,l) for i<k<l<j. These results are proved combinatorially and include the main result of [7], Sect.5, as special case.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA152 Algebra
    Uncontrolled Keywords: Kazhdan-Lusztig R-polynomials - simmetric group, descents
    Report Number: UTM 618, April 2002
    Repository staff approval on: 17 May 2005

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