Derived discrete Hopf algebras with the Chevalley property

2024/12/11 by Jing Yu, Yu, Jing, Gongxiang Liu +1
Mathematics · #Random Matrices and Applications #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2412.08093

Abstract

We try to classify Hopf algebras with the Chevalley property according to their derived representation type. We show that a finite-dimensional indecomposable non-semisimple Hopf algebra H with the Chevalley property is derived discrete if and only if it is isomorphic to (A(n, 2, μ, -1))^*. Besides, we give a description for the indecomposable objects in D^b((A(n, 2, μ, -1))^*) and determine their tensor products.

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