Semisimple Hopf algebras of dimension 60
Sonia Natale
TL;DR
This paper classifies all simple semisimple Hopf algebras of dimension 60, providing a complete understanding of their isomorphism classes.
Contribution
It offers a complete classification of simple semisimple Hopf algebras of dimension 60, a previously unresolved case in Hopf algebra theory.
Findings
Identified all isomorphism classes of simple semisimple Hopf algebras of dimension 60.
Provided explicit descriptions of these Hopf algebras.
Extended the classification of semisimple Hopf algebras to dimension 60.
Abstract
We determine the isomorphism classes of semisimple Hopf algebras of dimension 60 which are simple as Hopf algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons