Work

Strange expectations in affine Weyl groups

Year: 2024

Type: article

Abstract: Our main result is a generalization, to all affine Weyl groups, of P. Johnson’s proof of D. Armstrong’s conjecture for the expected number of boxes in a simultaneous core. This extends earlier results by the second and third authors in simply-laced type. We do this by modifying and refining the appropriate notion of the “size” of a simultaneous core. In addition, we provide combinatorial core-like models for the coroot lattices in classical type and type G 2 .

Source: Algebraic Combinatorics

DOI: 10.5802/alco.383

Authors: Eric Nathan Stucky, Marko Thiel, Nathan Williams

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Grantová Agentura České Republiky

Awards: Finite Reflection and General Linear Groups, RTG: Combinatorics and Algebra, Universal Quadratic Forms and Class Numbers, Combinatorics and Braid Varieties

OpenAlex ID: W4403938675

FWCI: 2.129

Cites: 21

Cited by: 2

Related to: 10