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Pré-Publication, Document De Travail Année : 2016

Representation theory of the Drinfeld doubles of a family of Hopf algebras II: corrections and new results

Résumé

We return to the fusion rules for the Drinfeld double of the duals of the generalised Taft algebras that we studied in [Erdmann et al., J. Pure Appl. Algebra 2006]. We first correct some proofs and statements in [Erdmann et al., J. Pure Appl. Algebra 2006] that were incorrect, using stable homomorphisms. We then complete this with new results on fusion rules for the modules we had not studied in [Erdmann et al., J. Pure Appl. Algebra 2006] and a classification of endotrivial and algebraic modules.
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Dates et versions

hal-01363904 , version 1 (12-09-2016)
hal-01363904 , version 2 (30-06-2017)
hal-01363904 , version 3 (28-05-2018)

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Karin Erdmann, Edward L. Green, Nicole Snashall, Rachel Taillefer. Representation theory of the Drinfeld doubles of a family of Hopf algebras II: corrections and new results. 2016. ⟨hal-01363904v1⟩
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