Higher spin representations of the Yangian of sl_2 and R-matrices

algebraic geometryrepresentation theory

Audience: researchers in the topic

Comments: 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.

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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