English

Classification of Coxeter groups with finitely many elements of $\mathbf{a}$-value 2

Combinatorics 2019-11-20 v2 Quantum Algebra Representation Theory

Abstract

We consider Lusztig's a\mathbf{a}-function on Coxeter groups (in the equal parameter case) and classify all Coxeter groups with finitely many elements of a\mathbf{a}-value 2 in terms of Coxeter diagrams.

Keywords

Cite

@article{arxiv.1805.06581,
  title  = {Classification of Coxeter groups with finitely many elements of $\mathbf{a}$-value 2},
  author = {R. M. Green and Tianyuan Xu},
  journal= {arXiv preprint arXiv:1805.06581},
  year   = {2019}
}

Comments

34 pages

R2 v1 2026-06-23T01:58:14.461Z