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On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra $\mathcal{FK}_3$ (1707.02091v2)

Published 7 Jul 2017 in math.QA and math.RT

Abstract: Let $\mathcal{D}$ be the Drinfeld double of $\mathcal{FK}_3#\Bbbk{\mathbb S}_3$. The simple $\mathcal{D}$-modules were described in arXiv:1409.0438. In the present work, we describe the indecomposable summands of the tensor product between them. We classify the extensions of the simple modules and show that $\mathcal{D}$ is of wild representation type. We also investigate the projective modules and their tensor products.

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