On Kaplansky's sixth conjecture

DOI10.4171/RSMUP/135-1zbMath1354.16035arXiv1409.2545OpenAlexW2397968082WikidataQ123119961 ScholiaQ123119961MaRDI QIDQ2630363

Li Dai, Jing Cheng Dong

Publication date: 27 July 2016

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2545

zbMATH Keywords

fusion categorysemisimple Hopf algebraKaplansky' sixth conjecture

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On semisimple Hopf algebras of dimension \(2q^3\).
• Weakly group-theoretical and solvable fusion categories
• Hopf algebra deformations of binary polyhedral groups.
• Yetter-Drinfel'd Hopf algebras over groups of prime order
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Some properties of finite-dimensional semisimple Hopf algebras
• Normal basis and transitivity of crossed products for Hopf algebras
• Semisimple Hopf algebras of dimension \(pq\) are trivial
• Irreducible representations of crossed products
• On group theoretical Hopf algebras and exact factorizations of finite groups.
• On semisimple Hopf algebras of dimension \(pq^2\)
• On twisting of finite-dimensional Hopf algebras.
• Self-dual modules of semisimple Hopf algebras.
• On semisimple Hopf algebras of dimension \(pq^r\).
• Self-dual Hopf algebras of dimension \(p^ 3\) obtained by extension
• The Grothendieck group of a Hopf algebra
• On the classification of certain fusion categories
• On fusion categories.
• Integrals for Hopf algebras
• Certain arithmetic properties of ring groups
• Some properties of factorizable Hopf algebras
• THE DIMENSION OF IRREDUCIBLE MODULES FOR TRANSITIVE MODULE ALGEBRAS
• On finite dimensional semisimple hopf algebras
• Semisimple Cosemisimple Hopf Algebras
• A Hopf Algebra Freeness Theorem
• Doubles of quasitriangular hopf algebras
• On the class equation for Hopf algebras
• Stabilizer for hopf algebra actions
• Multiplication alteration by two-cocycles - the quantum version
• A commuting pair in Hopf algebras
• Extensions of Hopf Algebras and Lie Bialgebras
• On semisimple Hopf algebras of dimension $pq$
• The $p^n$ theorem for semisimple Hopf algebras
• Structure Theorems for Semisimple Hopf Algebras of Dimensionpq³
• Structure of Semisimple Hopf Algebras of Dimensionp²q²
• On Integral Fusion Categories with Low-Dimensional Simple Objects
• Frobenius property for fusion categories of small integral dimension
• A Frobenius-Schur theorem for Hopf algebras
• On semisimple Hopf algebras of dimension \(pq^2\). II

This page was built for publication: On Kaplansky's sixth conjecture