Coset Decomposition for Semisimple Hopf Algebras

DOI10.1080/00927870902828496zbMath1193.16025arXiv0712.1719OpenAlexW2169169691MaRDI QIDQ3646339

Sebastian Burciu

Publication date: 20 November 2009

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

Full work available at URL: https://arxiv.org/abs/0712.1719

zbMATH Keywords

semisimple Hopf algebrascharactersdouble cosetscoset decompositions

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (10)

On the Grothendieck rings of generalized Drinfeld doubles ⋮ Depth two Hopf subalgebras of a semisimple Hopf algebra. ⋮ Depth one extensions of semisimple algebras and Hopf subalgebras. ⋮ Normal Hopf subalgebras of semisimple Drinfeld doubles. ⋮ On normal Hopf subalgebras of semisimple Hopf algebras. ⋮ Kernels of representations of Drinfeld doubles of finite groups. ⋮ On complements and the factorization problem of Hopf algebras. ⋮ Clifford theory for cocentral extensions. ⋮ Fusion rings arising from normal Hopf subalgebras. ⋮ On normal tensor functors and coset decompositions for fusion categories

Cites Work

• Unnamed Item
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• The Grothendieck group of a Hopf algebra
• Characters of Hopf algebras
• Normal Hopf subalgebras of semisimple Hopf algebras
• A Hopf Algebra Freeness Theorem
• The grothendieck algebra of a hopf algebra, i
• Classification of semisimple Hopf algebras of dimension 16

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