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arxiv: 1609.03831 · v3 · pith:5L26MT4Jnew · submitted 2016-09-13 · 🧮 math.RT · math.QA· math.RA

Stable Green ring of the Drinfeld doubles of the generalised Taft algebras (corrections and new results)

classification 🧮 math.RT math.QAmath.RA
keywords algebrasdrinfeldfusiongeneralisedmodulesresultsrulesstable
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We return to the fusion rules for the Drinfeld double of the duals of the generalised Taft algebras that we studied in [9]. We first correct some proofs and statements in [9] that were incorrect, using stable homomorphisms. We then complete this with new results on fusion rules for the modules we had not studied in [9] and a classification of endotrivial and algebraic modules.

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