Abstract

In this paper, we construct the Lusztig symmetries for quantum Borcherds-Bozec algebra Uq(g) and its weight module M∈O, on which the generators with real indices of Uq(g) act nilpotently. We show that these symmetries satisfy the defining relations of the braid group, associated to Uq(g), which gives a braid group action on Uq(g) and M.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.