Quantum groups acting on 4 points

Teodor Banica, Julien Bichon

Type: Article

Publication Date: 2009-01-01

Citations: 82

DOI: https://doi.org/10.1515/crelle.2009.003

Abstract

We classify the compact quantum groups acting on 4 points. These are the quantum subgroups of the quantum permutation group 𝓠4. Our main tool is a new presentation for the algebra C(𝓠4), corresponding to an isomorphism of type 𝓠4 ≃ SO–1(3). The quantum subgroups of 𝓠4 are subject to a McKay type correspondence, that we describe at the level of algebraic invariants.

Locations

arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
Journal für die reine und angewandte Mathematik (Crelles Journal) - View

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