Admissible Coalgebras and Non-cosemisimple Hopf Algebras
Z.P. Fan
TL;DR
This paper establishes necessary conditions for non-cosemisimple coalgebras to be admissible, aiding the classification of certain Hopf algebras and advancing understanding of their structural properties.
Contribution
It provides new necessary conditions for admissibility of non-cosemisimple coalgebras, simplifying classification of specific Hopf algebras.
Findings
Necessary conditions for admissibility of non-cosemisimple coalgebras
Simplification of classification problems for Hopf algebras of dimensions 45 and 105
Implications for structural analysis of Hopf algebras
Abstract
In this paper, we give several necessary conditions for non-cosemisimple coalgebras being admissible. The implications simplify the classification problems for Hopf algebras of dimension 45, 105 and a few others.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons