Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property
Margaret Beattie, Gaston Andres Garcia, Siu-Hung Ng, Jolie Roat
TL;DR
This paper classifies nonsemisimple Hopf algebras of dimension 8p with the Chevalley property over algebraically closed fields of characteristic zero, and provides partial classifications for dimension 24.
Contribution
It offers a complete classification for dimension 8p and partial results for dimension 24, advancing understanding of nonsemisimple Hopf algebras with the Chevalley property.
Findings
Classified nonsemisimple Hopf algebras of dimension 8p with the Chevalley property.
Provided partial classification results for dimension 24.
Enhanced understanding of structure and properties of these Hopf algebras.
Abstract
Let p be an odd prime and k an algebraically closed field of characteristic zero. We classify nonsemisimple Hopf algebras over k of dimension 8p with the Chevalley property, and give partial results on nonsemisimple Hopf algebras of dimension 24.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research