The Grothendieck group of a Hopf algebra

DOI10.1016/0022-4049(95)00023-2zbMath0848.16034OpenAlexW1976080513WikidataQ127203107 ScholiaQ127203107MaRDI QIDQ1910766

M. Bettina Richmond, Warren D. Nichols

Publication date: 24 October 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00023-2

zbMATH Keywords

Grothendieck groupssimple subcoalgebrascategories of finite-dimensional right comodulescosimple Hopf algebrasfinite-dimensional cosemisimple Hopf algebras

Mathematics Subject Classification ID

Related Items (42)

On biproducts and extensions ⋮ Unnamed Item ⋮ Representations of degree three for semisimple Hopf algebras. ⋮ Fusion categories containing a fusion subcategory with maximal rank ⋮ On Kaplansky's sixth conjecture ⋮ Semisimple reflection Hopf algebras of dimension sixteen ⋮ On Two Families of Hopf Algebras of Dimension 2^m ⋮ Polynomial invariants for a semisimple and cosemisimple Hopf algebra of finite dimension. ⋮ Unnamed Item ⋮ Weakly group-theoretical and solvable fusion categories ⋮ Normal Hopf subalgebras of semisimple Drinfeld doubles. ⋮ The character table for a Hopf algebra arising from the Drinfel'd double. ⋮ Semisimple Hopf algebras of dimension 60. ⋮ On the Grothendieck ring of fusion categories of rank 5 ⋮ On normal Hopf subalgebras of semisimple Hopf algebras. ⋮ Hopf algebra extensions of group algebras and Tambara-Yamagami categories. ⋮ Kernels of representations of Drinfeld doubles of finite groups. ⋮ Hopf algebra deformations of binary polyhedral groups. ⋮ Character tables and normal left coideal subalgebras. ⋮ Categorical Hopf kernels and representations of semisimple Hopf algebras. ⋮ The corepresentation ring of a pointed Hopf algebra of rank one ⋮ Structure of Semisimple Hopf Algebras of Dimensionp²q² ⋮ Structure Theorems for Semisimple Hopf Algebras of Dimensionpq³ ⋮ On semisimple Hopf algebras of dimension \(2^{m}\). II ⋮ K₀-rings and twisting of finite dimensional semisimple hopf algebras ⋮ Classification of semisimple Hopf algebras of dimension 16 ⋮ On fusion rules and solvability of a fusion category ⋮ Clifford theory for cocentral extensions. ⋮ The grothendieck algebra of a hopf algebra, i ⋮ Fusion rings arising from normal Hopf subalgebras. ⋮ On some representations of the Drinfel'd double. ⋮ Hopf Algebras ⋮ On some examples of simple quantum groups ⋮ On Kaplansky's fifth conjecture ⋮ On semisimple Hopf algebras of dimension \(pq^2\) ⋮ Coset Decomposition for Semisimple Hopf Algebras ⋮ Normal Hopf subalgebras of semisimple Hopf algebras ⋮ On Integral Fusion Categories with Low-Dimensional Simple Objects ⋮ Frobenius property for fusion categories of small integral dimension ⋮ Irreducible representations of crossed products ⋮ Clifford correspondence for algebras. ⋮ Self-dual modules of semisimple Hopf algebras.

Cites Work

• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Characters of Hopf algebras
• An Isomorphism for the Grothendieck Ring of a Hopf Algebra Order
• A Hopf Algebra Freeness Theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Grothendieck group of a Hopf algebra