Geodesic
Generalized Matsumoto-Tits sections and quantum quasi-shuffle algebras
Journal of Algebraic Combinatorics, Tome 43 (2016) no. 3, pp. 693-714.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this paper, generalized Matsumoto-Tits sections lifting permutations to the algebra associated with 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.
Classification : 05E15, 16T25, 20B30
Keywords: Matsumoto-Tits section, quantum quasi-shuffle algebra, generalized virtual braid group 
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     author = {Fang, Xin},
     title = {Generalized {Matsumoto-Tits} sections and quantum quasi-shuffle algebras},
     journal = {Journal of Algebraic Combinatorics},
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     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/JAC_2016__43_3_a2/}
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Fang, Xin. Generalized Matsumoto-Tits sections and quantum quasi-shuffle algebras. Journal of Algebraic Combinatorics, Tome 43 (2016) no. 3, pp. 693-714. http://geodesic.mathdoc.fr/item/JAC_2016__43_3_a2/