2015/11/30 by Xin Fang
Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Braid #Braid group #Homotopy and Cohomology in Algebraic Topology #Monoid #Quantum #Quantum algebra #Symmetrization #math.CO #math.QA #math.RA
paper · pdf · doi:10.1007/s10801-015-0650-x
published as Journal of Algebraic Combinatorics, Volume 43, Issue 3 (2016), pp 693-714 · 18 pages
openalex publication_date 2015/11/30 · arxiv created 2016/05/27 · arxiv updated 2016/05/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.