Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Monodromy in Kazhdan-Lusztig cells in affine type A

Michael Chmutov, Joel Brewster Lewis, Pavlo Pylyavskyy

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.

Monodromy in Kazhdan-Lusztig cells in affine type A

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.

Paper Structure

This paper contains 7 sections, 3 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Cells in Kazhdan-Lusztig theory
  3. Type A
  4. Affine type A
  5. Summary of results
  6. Background
  7. Notational preliminaries