题目：On the center of the quantized enveloping algebra of a semisimple Lie algebra

报告人：夏利猛 （江苏大学理学院）

时间：4月15日（周五） 下午 4:00-5:30

地点：管研楼1218
 
摘要：Let g be a complex simple finite dimensional Lie algebra and Uq(g) the quantized enveloping algebra in Jantzen's sense with q being generic. As a continuous work in [LWP, WWL], we prove that the center Z(Uq(g)) of the quantum group Uq(g) is isomorphic to a monoid algebra, and Z(Uq(g)) is a polynomial algebra if and only if g is of type A1, Bn, Cn, D2k+2, E7, E8, F4 and G2. It turns out that when g is of type Dn with n odd then Z(Uq(g)) is isomorphic to a quotient algebra of polynomial algebra with n+1 variables and one relation, and while when g is of type E6 then Z(Uq(g)) is isomorphic to a quotient algebra of polynomial algebra with 14 variables and eight relations.

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