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Original Articles

A Simple Product Formula for Certain Kazhdan-Lusztig R-Polynomials

Pages 407-414 | Received 06 Jun 2002, Published online: 03 Sep 2006
 

ABSTRACT

We obtain a simple product formula for the Kazhdan-Lusztig R -polynomials, R u,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 proven combinatorially and include the main result of Pagliacci (Citation2001, Section 5), as special case.

Notes

Communicated by B. Parshall.

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