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math.GRMar 8, 2018
authors
  • Elise G. delMas
  • Joel Brewster Lewis
institutions
  • George Washington University
  • University of Minnesota
arXiv abstractPDF
paper

Reflection length in the general linear and affine groups

arXiv:1803.03070 · doi:10.1080/00927872.2021.1964515

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.

17 pages

References in corpus (2)

  • Computing reflection length in an affine Coxeter group
  • Absolute order in general linear groups
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