Ukrainian Mathematical Journal

, Volume 59, Issue 6, pp 907–918 | Cite as

On the growth of deformations of algebras associated with Coxeter graphs

  • N. D. Popova
  • Yu. S. Samoilenko
  • O. V. Strilets’


We investigate a class of algebras that are deformations of quotient algebras of group algebras of Coxeter groups. For algebras from this class, a linear basis is found by using the “diamond lemma.” A description of all finite-dimensional algebras of this class is given, and the growth of infinite-dimensional algebras is determined.


Permutation Group Group Algebra Braid Group Coxeter Group Free Algebra 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • N. D. Popova
    • 1
  • Yu. S. Samoilenko
    • 1
  • O. V. Strilets’
    • 1
  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKyiv

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