Quantum affine superalgebra for type $\mathfrak{osp}(2m+1|2n)$
报告人：张红莲（上海大学）
时间：2024-09-30 13:30-14:30
地点：智华楼412
Abstract: In this talk, we will investigate the structures of the quantum affine superalgebra associated with the orthosymplectic Lie superalgebra $\mathfrak{osp}(2m+1|2n)$ for $m\geqslant 1$.We introduce the definitions of the Drinfeld presentation $\mathcal{U}_q[\mathfrak{osp}(2m+1|2n)^{(1)}]$.We provide braid group action to define quantum root vectors of quantum superalgebras. We constuct the isomorphisms among its Drinfeld-Jimbo presentation, Drinfeld presentation and R-matrix presentation using braid group actions.
