Quantum groups acting on 4 points

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dc.creatorBanica, Teodor
dc.creatorBichon, Julien
dc.date2007-03-05
dc.date2007-09-03
dc.date.accessioned2026-07-07T12:29:35Z
dc.date.available2026-07-07T12:29:35Z
dc.descriptionWe classify the compact quantum groups acting on 4 points. These are the quantum subgroups of the quantum permutation group $\mathcal Q_4$. Our main tool is a new presentation for the algebra $\rm C(\mathcal Q_4)$, corresponding to an isomorphism of type $\mathcal Q_4\simeq SO_{-1}(3)$. The quantum subgroups of $\mathcal Q_4$ are subject to a McKay type correspondence, that we describe at the level of algebraic invariants.
dc.description34 pages. Comments added in last section
dc.identifierhttps://arxiv.org/abs/math/0703118
dc.identifierhttp://arxiv.org/abs/math/0703118
dc.identifierJ. Reine Angew. Math. 626 (2009), 74-114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215927
dc.subjectQuantum Algebra
dc.subjectGroup Theory
dc.subject20G42; 16W30
dc.titleQuantum groups acting on 4 points
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