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math.MGFeb 1, 2004
12
citations (OpenAlex)
authors
  • Anna Felikson
  • Pavel Tumarkin
institutions
  • Independent University of Moscow
arXiv abstractPDF
paper

Reflection subgroups of Euclidean reflection groups

arXiv:math/0402403 · doi:10.1070/SM2005v196n09ABEH003646

Abstract

In this paper we classify reflection subgroups of Euclidean Coxeter groups.

22 pages; v.2: updated according to referee's comments. Section about finite reflection subgroups added. To appear in Sb. Math

References in corpus (2)

  • Coxeter Decompositions of Hyperbolic Tetrahedra
  • Coxeter decompositions of hyperbolic simplices

Cited by in corpus (9)

  • Regular subalgebras of affine Kac-Moody algebras
  • Euclidean simplices generating discrete reflection groups
  • Asymmetric Bethe Ansatz
  • On the Reflection Type Decomposition of the Adjoint Reduced Phase Space of a Compact Semisimple Lie group
  • Essential hyperbolic Coxeter polytopes
  • Induced Characters of Type D Weyl Groups and the Littlewood-Richardson Rule
  • Reflection subgroups of finite and affine Weyl groups
  • Exact Solution for Two δ-Interacting Bosons on a Ring in the Presence of a δ-Barrier: Asymmetric Bethe Ansatz for Spatially Odd States
  • Reflection subgroups of odd-angled Coxeter groups
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