Monodromy in Kazhdan–Lusztig cells in affine type A

Michael S Chmutov; Joel B Lewis; Pavlo Pylyavskyy

doi:10.1007/s00208-022-02434-4

Monodromy in Kazhdan–Lusztig cells in affine type A

Michael S Chmutov, Joel B Lewis, Pavlo Pylyavskyy

School of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1891-1949
Number of pages	59
Journal	Mathematische Annalen
Volume	386
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-022-02434-4
State	Published - Aug 2023

Bibliographical note

Funding Information:
M.C. was partially supported by NSF Grant DMS-1503119. J.B.L. was partially supported by NSF Grant DMS-1401792. P.P. was partially supported by NSF Grants DMS-1148634, DMS-1351590, and a Sloan Fellowship.

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© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

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AU - Pylyavskyy, Pavlo

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Monodromy in Kazhdan–Lusztig cells in affine type A

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