2 problems

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A graded Drinfeld-double realization of the doubled category
Let $\mathcal{D}$ be the doubled category constructed in the paper, let $\mathcal{U}_i(\mathfrak{sl}_2)$ be the quantum group at $i$ , and let $D_G$ denote a $G$ -graded version of t…
Conjectureopendrinfeld-doubles quantum-groups quantum-topologyarXiv posted 2 days ago
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Equality of the two power operations on Yetter–Drinfeld modules over symmetric groups
Equality conjecture. For any $r$ relatively prime to $\exp(S_n)$ and $V\in{}^{S_n}_{S_n}\mathcal{YD}$ , one has
Conjectureopendrinfeld-doubles finite-groups yetter-drinfeld-modulesarXiv posted 2 days ago

A graded Drinfeld-double realization of the doubled category