Department of Mathematics - Algebra and Geometry Seminar - Higher spin representations of the Yangian of sl_2 and R-matrices
4:00pm - 5:30pm
Room 4472 (Lifts 25/26)
For the Yangian of sl_2, higher spin representations are tensor products of the evaluation pullback of the $\ell_i+1$-dimensional irreducible representations of sl_2, where $\ell_i$ are the highest weights. In my talk, I will give a geometric realization of the higher spin representations in terms of the critical cohomology of representations of the quiver with potential of Bykov and Zinn-Justin. I will also talk about the construction of R-matrices via the lattice model and the weight functions.
This is based on my joint work with Paul Zinn-Justin.
Event Format
Speakers / Performers:
Dr. Yaping YANG
University of Melbourne
Language
English
Recommended For
Alumni
Faculty and staff
PG students
UG students
Organizer
Department of Mathematics