04-02【樊赵兵】管研楼1418 吴文俊数学重点实验室代数学系列报告之185

发布者:卢珊珊发布时间:2021-03-29浏览次数:10

题目:Drinfeld double of deformed quantum algebras


报告人:樊赵兵,哈尔滨工程大学



时间:2021年4月2日(周五) 上午 10:45-11:45


地点:东区管理科研楼1418教室



摘要: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, and 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.


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