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 (Unpublished)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