Two formulae for inverse Kazhdan-Lusztig polynomials in Sn
Abstract
Let w0 denote the permutation [n,n-1,...,2,1]. We give two new explicit formulae for the Kazhdan-Lusztig polynomials Pw0w,w0x in Sn when x is a maximal element in the singular locus of the Schubert variety Xw. To do this, we utilize a standard identity that relates Px,w and Pw0w,w0x.
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