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Academic Report of SMS 2026-3

Title:Representations of the small quasi-quantum group

Speaaker:Yinhuo Zhang, Hasselt university

Date:9:00-10:00 2026-1-16 (Friday)

Venue:Room 617,Building 56, Shouxihu Campus

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.

OrganizerSchool of Mathematics

Inviter: Libin Li and Hua Sun

Students and teachers are welcome.

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