English

Quantum doubles of certain rank two pointed Hopf algebras

Rings and Algebras 2010-10-05 v2

Abstract

A certain class of rank two pointed Hopf algebras is considered. The simple modules of their Drinfel'd double is described using Radford's method \cite{rad}. The socle of the tensor product of two such modules is computed and a formula similar to the one in \cite{one} is obtained in some conditions. Cases when such a tensor product is completely irreducible are also given in the last section.

Keywords

Cite

@article{arxiv.0705.3275,
  title  = {Quantum doubles of certain rank two pointed Hopf algebras},
  author = {Sebastian Marius Burciu},
  journal= {arXiv preprint arXiv:0705.3275},
  year   = {2010}
}

Comments

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