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arXiv · 1911.08445

$U_q\left(\mathfrak{sl}_2\right)$-symmetries of the quantum disc: a complete list

Sergey D. Sinel'shchikov
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Abstract

This work presents a classification of $U_q(\mathfrak{sl}_2)$-symmetries on the quantum disc. The principal invariant of such classification, the grading jump, is introduced. It turns out that, under the present subjects, the grading jump can take only 3 values: $0$, $1$, $-1$. The subcollection of the complete collection of symmetries is extracted in such a way that the selected symmetries satisfy certain compatibility condition for involutions.

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Sergey D. Sinel'shchikov. 2019-11-19. $U_q\left(\mathfrak{sl}_2\right)$-symmetries of the quantum disc: a complete list. https://arxiv.org/abs/1911.08445

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