The \(kS_3\)-module algebra structures on \(M_3(k)\)

DOI10.3390/SYM11020178zbMath1416.16028OpenAlexW2911392453WikidataQ128492644 ScholiaQ128492644MaRDI QIDQ2310984

Yin Wang, Xiaojuan Chen, Shiyin Zhao

Publication date: 10 July 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym11020178

zbMATH Keywords

matrix algebragroup algebraHopf algebraweak similaritymodule algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Hopf algebras and their applications (16T05)

Cites Work

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• Maude's module algebra
• A duality theorem for Hopf module algebras
• Hopf algebra actions
• A direct sum decomposition for the Brauer group of H-module algebras
• Methods of graded rings.
• Picard-Vessiot extensions of Artinian simple module algebras.
• Integrality of module algebras over its invariants
• Four-dimensional Yetter-Drinfeld module algebras over \(H_4\).
• Actions of Commutative Hopf Algebras
• The Brauer group of Yetter-Drinfel’d module algebras

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