Classification results for easy quantum groups

By T. Banica, Stephen J. Curran, Roland Speicher. 2009

60 citations recorded by the source corpus.

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 H s n = ℤ s z S n . We also discuss the general structure and the computation of asymptotic laws of characters for the new quantum groups that we construct.

Subfields: Geometry and Topology, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/77b7057c61f93ed60fd062b808d37bc4f05f374e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Sven Raum
2. Moritz Weber
3. Roland Speicher

In Mathematical Physics

1. Sven Raum
2. Moritz Weber
3. Roland Speicher

In Statistics and Probability

1. Sven Raum
2. Moritz Weber
3. Roland Speicher

Citations in the corpus

• Easy quantum groups and quantum subgroups of a semi-direct product quantum group (2013, background): “By [BCS10], the higher hyperoctahedral series is associated with the category of partitions generated by ⊓ / −⊓ and”
• The Full Classification of Orthogonal Easy Quantum Groups (2013, methodology): “It began in [BaSp09], and was continued in [BaCuSp10], [We13],[RaWe13a] and [RaWe13b].”