報(bào)告題目：Representations of the small quasi-quantum group

　　報(bào)告人：張印火,，比利時(shí)Hasselt大學(xué)教授

　　時(shí)間：2023年8月20日10:00-11:00

　　地點(diǎn)：1-301

　　報(bào)告摘要：In this talk, we give the representations of the small quantum group and the small quasi-quantum group respectively, where q is a primitive n-th root of unity and n>2 is odd. All finite dimensional indecomposable -modules are described and classified. Moreover, the decomposition rules for the tensor products of -modules are given. Finally, we describe the structures of the projective class ring and the Green ring . We show that is isomorphic to a subring of and the stable Green rings and are isomorphic. This is the joint work with Huixiang Chen and Hua Sun.

　　報(bào)告人簡(jiǎn)介：

　　張印火,，比利時(shí)Hasselt大學(xué)教授，Hopf代數(shù)和張量范疇理論國(guó)際知名專(zhuān)家, 在Hopf代數(shù)的Green 環(huán)和Brauer 群方面做了許多開(kāi)創(chuàng)性和深刻的工作,。在 《Trans. Amer. Math. Soc.》,， 《J. Noncommut. Geom.》，《Select. Math.》,， 《Math. Z.》,， 《Israel J. Math.》， 《J. Algebra》等高水平雜志發(fā)表論文80多篇,，被同行引用650余次?，F(xiàn)為比利時(shí)Hasselt大學(xué)終身教授，是每一年一次的Hopf代數(shù)與Tensor Categories國(guó)際會(huì)議的發(fā)起人和組織者,。