arXiv Analytics

Sign in

arXiv:1706.00471 [math.CO]AbstractReferencesReviewsResources

Monodromy in Kazhdan-Lusztig cells in affine type A

Michael Chmutov, Joel Brewster Lewis, Pavlo Pylyavskyy

Published 2017-06-01Version 1

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.

Related articles: Most relevant | Search more
arXiv:1707.03159 [math.CO] (Published 2017-07-11)
The weight function for monomial crystals of affine type
arXiv:2407.11232 [math.CO] (Published 2024-07-15)
Infinite friezes of affine type D
arXiv:2102.05335 [math.CO] (Published 2021-02-10)
Two maps on affine type A crystals and Hecke algebras