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Generalized Matsumoto-Tits sections and quantum quasi-shuffle algebras

Published 27 May 2016 in math.CO, math.QA, and math.RA | (1605.08591v1)

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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