Abstract
We introduce a category of modules over the elliptic quantum group of with well-behaved -character theory. We construct asymptotic modules as analytic continuation of a family of finite-dimensional modules, the Kirillov–Reshetikhin modules. In the Grothendieck ring of this category we prove two types of identities: Generalized Baxter relations in the spirit of Frenkel–Hernandez between finite-dimensional modules and asymptotic modules. Three-term Baxter TQ relations of infinite-dimensional modules.
Citation
Huafeng Zhang. "Elliptic quantum groups and Baxter relations." Algebra Number Theory 12 (3) 599 - 647, 2018. https://doi.org/10.2140/ant.2018.12.599
Information