English

Generalized Matsumoto-Tits sections and quantum quasi-shuffle algebras

Combinatorics 2016-05-30 v1 Quantum Algebra Rings and Algebras

Abstract

In this paper generalized Matsumoto-Tits sections lifting permutations to the algebra associated to a generalized virtual braid monoid are defined. They are then applied to study the defining relations of the quantum quasi-shuffle algebras via the total symmetrization operator.

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Cite

@article{arxiv.1605.08591,
  title  = {Generalized Matsumoto-Tits sections and quantum quasi-shuffle algebras},
  author = {Xin Fang},
  journal= {arXiv preprint arXiv:1605.08591},
  year   = {2016}
}

Comments

18 pages