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arXiv · 1707.02091

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

Barbara Pogorelsky·Cristian Vay
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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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Barbara Pogorelsky, Cristian Vay. 2017-07-07. On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra $\mathcal{FK}_3$. https://arxiv.org/abs/1707.02091

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