Drinfeld double of deformed quantum algebras
- A+
：樊赵兵教授
：2019-06-17 10:30
：实验楼108
Speaker：Prof. Zhaobin Fan
Harbin Engineering University
Title: Drinfeld double of deformed quantum algebras
Time：17 June 2019, 10:30
Location：实验楼108
Abstract: We provide a deformation, f_{\alpha, \beta} , of Lusztig algebra f. Various quantum algebras in literature, including half parts of two-parameter quantum algebras, quantum superalgebras, multi-parameter quantum algebras/superalgebras, are all specializations of f_{\alpha, \beta} . Moreover, f_{\alpha, \beta} is isomorphic to Lusztig algebra f up to a twist. As a consequence, half parts of those quantum algebras are isomorphic to Lusztig algebra f over a big enough ground field up to certain twists. We further construct the entire algebra U _{\beta, \xi} by Drinfeld double construction. As special cases, above quantum algebras all admit a Drinfeld double construction under certain assumptions. This is a joint work with Junjing Xing.
