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Classification
results for easy quantum groups
Teodor Banica, Stephen Curran and Roland Speicher |
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Vol. 247 (2010), No. 1, 1–26
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Abstract |
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We study the orthogonal quantum groups satisfying the “easiness” assumption axiomatized in our previous paper, with the construction of some new examples and with some partial classification results. The conjectural conclusion is that the easy quantum groups consist of the previously known 14 examples, plus a hypothetical multiparameter “hyperoctahedral series”, related to the complex reflection groups Hns = ℤs ≀Sn. We also discuss the general structure and the computation of asymptotic laws of characters for the new quantum groups that we construct. |
Keywords
quantum group, noncrossing partition
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Mathematical Subject Classification 2000
Primary: 46L65
Secondary: 20F55, 46L54
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Milestones
Received: 21 June 2009
Accepted: 15 January 2010
Published: 1 July 2010
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Authors |
| Teodor Banica | |
| Department of Mathematics Cergy-Pontoise University 95000 Cergy-Pontoise France |
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| Stephen Curran | |
| Department of Mathematics University of California Berkeley, CA 94720 United States |
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| Roland Speicher | |
| Department of Mathematics and
Statistics Queen’s University Jeffery Hall Kingston, Ontario K7L 3N6 Canada |
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