PBW Deformations of Smash Products Involving Hopf Algebra of Kac–Paljutkin Type

Yujie Gao and Shilin Yang

Journal of Mathematics, 2025, vol. 2025, 1-19

Abstract: Let H2n2 be the Kac–Paljutkin–type Hopf algebra of dimension 2n2, A its graded Koszul Artin–Schelter regular H2n2-module algebra of Dimension 2, A! the Koszul dual of A, and Acop the braided-opposite algebra of A. This paper describes 0,1-degree PBW deformations of the smash product A♯H2n2 and those of A!♯H2n2 under the condition that the Koszul dual A! of A is also an H2n2-module algebra. Also, 0-degree PBW deformations of A⊗cAcop♯H2n2 are explored, where A⊗cAcop is the associated braided tensor product algebra.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7695363

DOI: 10.1155/jom/7695363

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