Path representation of maximal parabolic Kazhdan-Lusztig polynomials

Mathematics – Combinatorics

Scientific paper

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Scientific paper

We provide simple rules for the computation of Kazhdan--Lusztig polynomials
in the maximal parabolic case. They are obtained by filling regions delimited
by paths with "Dyck strips" obeying certain rules. We compare our results with
those of Lascoux and Sch\"utzenberger.

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