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Monodromy in Kazhdan-Lusztig cells in affine type A

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arxiv 1706.00471 v2 pith:KH4QLUEI submitted 2017-06-01 math.CO math.RT

Michael Chmutov , Joel Brewster Lewis , Pavlo Pylyavskyy This is my paper · ORCID
classification math.COmath.RT
keywords affinecellskazhdan-lusztigtypebidirectedclassescomprehensivecorrespondence
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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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  1. Two-row $W$-graphs in affine type $A$

    math.CO 2019-08 conditional novelty 7.0 of 10

    Two-row shapes in affine type A admit finite W-graphs, constructed combinatorially and proven unique up to isomorphism, extending the known finite-type picture.

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