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- W2787698725 abstract "Let [Formula: see text] be an arbitrary pointed Hopf algebra of rank one and [Formula: see text] the group of group-like elements of [Formula: see text]. In this paper, we give the decomposition of a tensor product of finite dimensional indecomposable right [Formula: see text]-comodules into a direct sum of indecomposables. This enables us to describe the corepresentation ring of [Formula: see text] in terms of generators and relations. Such a ring is not commutative if [Formula: see text] is not abelian. We describe all nilpotent elements of the corepresentation ring of [Formula: see text] if [Formula: see text] is a finite abelian group or a particular Hamiltonian group. In this case, all nilpotent elements of the corepresentation ring form a principal ideal which is either zero or generated by a nilpotent element of degree 2." @default.
- W2787698725 created "2018-02-23" @default.
- W2787698725 creator A5024076883 @default.
- W2787698725 date "2018-12-01" @default.
- W2787698725 modified "2023-09-27" @default.
- W2787698725 title "The corepresentation ring of a pointed Hopf algebra of rank one" @default.
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- W2787698725 doi "https://doi.org/10.1142/s0219498818502365" @default.
- W2787698725 hasPublicationYear "2018" @default.
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