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Academic Report of SMS 2025-44

Title:Representations of the small quasi-quantum group

Abstract: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.

Speaker:Yinhuo Zhang,Hasselt University.

Date:16:00 p.m., 2025-8-8 (Friday).

Venue: 56#208

Inviter:Libin Li, Hua Sun

Organizer:School of Mathematical

Students and teachers are welcome.



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