U_q(\mathfraksl₂)-symmetries of the quantum disc: a complete list

2019/11/19 by Sinel'shchikov, Sergey D.
#17B37 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1911.08445

Abstract

This work presents a classification of U_q(\mathfraksl₂)-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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