Kazhdan-Lusztig R-polynomials of permutations containing a 231 or 312 pattern

Pagliacci, Michela (2003) Kazhdan-Lusztig R-polynomials of permutations containing a 231 or 312 pattern. UNSPECIFIED. (Unpublished)

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    Abstract

    We consider the Kazhdan-Lusztig R-polynomials, Ru,v(q) , indexed by permutations u,v of Sn, where u contains a pattern of type 231 or 232 and v is obtained from u by applying a transposition and an appropriate 3-cycle. We prove, using combinatorial techniques, that these polynomials are given by a closed product formula. The case of permutation which contain a pattern of type 321 follows from the others.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA299.6 Analysis
    Uncontrolled Keywords: descents, symmetric group, Kazhdan-Lusztig R-polynomials
    Report Number: UTM 648, August 2003
    Repository staff approval on: 18 May 2005

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