Monodromy in Kazhdan–Lusztig cells in affine type A

Michael Chmutov,Joel Brewster Lewis,Pavlo Pylyavskyy

arXiv: Combinatorics（2022）

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摘要

We use the affine Robinson–Schensted correspondence to describe the structure of bidirected edges in the Kazhdan–Lusztig cells in affine type A. Equivalently, we give a comprehensive description of the Knuth equivalence classes of affine permutations.

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