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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’
Article

Abstract

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.

Keywords

Permutation Group Group Algebra Braid Group Coxeter Group Free Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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