English

Reflection length in the general linear and affine groups

Group Theory 2024-02-07 v1 Combinatorics

Abstract

We give an intrinsic criterion to tell whether a reflection factorization in the general linear group is reduced, and give a formula for computing reflection length in the general affine group.

Cite

@article{arxiv.1803.03070,
  title  = {Reflection length in the general linear and affine groups},
  author = {Elise G. delMas and Joel Brewster Lewis},
  journal= {arXiv preprint arXiv:1803.03070},
  year   = {2024}
}

Comments

17 pages

R2 v1 2026-06-23T00:46:26.573Z