Representations of the category of modules over pointed Hopf algebras over S_3 and S_4

Agust\'in Garc\'ia Iglesias; Mart\'in Mombelli

arxiv: 1006.1857 · v6 · pith:SED3ORYXnew · submitted 2010-06-09 · 🧮 math.QA · math.RA

Representations of the category of modules over pointed Hopf algebras over S₃ and S₄

Agust\'in Garc\'ia Iglesias , Mart\'in Mombelli This is my paper

classification 🧮 math.QA math.RA

keywords algebrashopfcategorybyproductcategoriesclassifycocyclecompute

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We classify exact indecomposable module categories over the representation category of all non-trivial Hopf algebras with coradical S_3 and S_4. As a byproduct, we compute all its Hopf-Galois extensions and we show that these Hopf algebras are cocycle deformations of their graded versions.

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Representations of the category of modules over pointed Hopf algebras over S₃ and S₄

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