A formula for certain inverse Kazhdan-Lusztig polynomials in Sn

  • Authors:

  • Gregory S. Warrington

  • Affiliations:

  • Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2003

Quantified Score

Hi-index 0.00

Visualization

Abstract

Let w0 denote the permutation [n, n - 1, ..., 2, 1]. We give a new explicit formula for the Kazhdan-Lusztig polynomials Pw0w,w0x in Sn when x indexes an irreducible component of the singular locus of the Schubert variety Xw. To do this, we utilize a standard identity that relates Px,w and Pw0w,w0x.