学术信息

数学学科2019系列学术报告之十一

来源:理学院 发布日期:2019-05-28


报告题目:The Regular Representation of Uv(glm|n)

报告人:周中国(副教授),河海大学

时间:2019531日,15:00--16:00

地点:1-301

报告摘要:Using quantum differential operators, we construct a super representation of Uv(glm|n) on a certain polynomial superalgebra. We then extend the representation to its formal power series algebra which contains a Uv(glm|n)-submodule isomorphic to the regular representation of Uv(glm|n). In this way, we obtain a presentation of Uv(glm|n) by a basis together with explicit multiplication formulas of the basis elements by generators.