Tensor Products of Modules Over a Certain Class of Quantum Doubles

DOI10.1080/00927872.2011.606858zbMath1282.16037OpenAlexW2026695312MaRDI QIDQ4909085

Sebastian Burciu

Publication date: 12 March 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.606858

zbMATH Keywords

tensor productsquantum doublespointed Hopf algebrassoclecompletely irreducible modules

Mathematics Subject Classification ID

Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Related Items (3)

Normal Hopf subalgebras of semisimple Drinfeld doubles. ⋮ On weak Hopf symmetry and weak Hopf quantum double model ⋮ On the Grothendieck rings of equivariant fusion categories

Cites Work

• Complete reducibility theorems for modules over pointed Hopf algebras.
• Finite-dimensional Hopf algebras of rank one in characteristic zero.
• Classification of pointed rank one Hopf algebras.
• On the classification of finite-dimensional pointed Hopf algebras.
• On oriented quantum algebras derived from representations of the quantum double of a finite-dimensional Hopf algebra.
• Irreducible representations of a class of quantum doubles
• Constructing pointed Hopf algebras by Ore extensions
• Factorization of simple modules for certain pointed Hopf algebras.
• Representation theory of the Drinfeld doubles of a family of Hopf algebras.

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