Abstract
We introduce in this notice the generalized virtual braid group on n strands GVBn, generalizing simultaneously the braid groups and their virtual versions. A Matsumoto–Tits-type section lifting shuffles in a symmetric group |$\mathfrak {S}_n$| to the monoid associated to GVBn is constructed, which is then applied to characterize the quantum quasi-shuffle product. A family of representations of GVBn is constructed using quantum groups.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.