Irreducible representations of Hopf algebras over dihedral groups
Fernando Fantino, Juan Hidalgo, Adriana Mejia Castano, Carla, Morschbacher, Virginia Rodrigues
TL;DR
This paper classifies all irreducible representations of certain pointed Hopf algebras with dihedral group-like elements, providing detailed analysis of their structure and radicals.
Contribution
It explicitly computes all irreducible representations for a subfamily of pointed Hopf algebras over dihedral groups, advancing understanding of their representation theory.
Findings
Complete classification of irreducible representations
Determination of the Jacobson radical for these Hopf algebras
Analysis of restrictions to dihedral groups
Abstract
We calculate all irreducible representations over a subfamily of pointed Hopf algebras with group-likes the dihedral group analyzing the possible decompositions of the restriction to the dihedral group and calculating the Jacobson radical of the Hopf algebra
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Finite Group Theory Research