Factorization of Kazhdan-Lusztig elements for Grassmanians

Details Factorization of Kazhdan-Lusztig elements for Grassmanians Factorization of Kazhdan-Lusztig elements for Grassmanians

1999-02-11

arxiv.org/abs/math/9902072v1

Mathematics

Combinatorics

9 pages, LaTeX2e with 4 PostScript figures

Scientific paper

We show that the Kazhdan-Lusztig basis elements $C_w$ of the Hecke algebra of
the symmetric group, when $w \in S_n$ corresponds to a Schubert subvariety of a
Grassmann variety, can be written as a product of factors of the form
$T_i+f_j(v)$, where $f_j$ are rational functions.

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