Fusion rules for representations of compact quantum groups

Abstract

We give a survey of some recent results on the fusion semirings of compact quantum groups (computations of and applications to discrete quantum groups) by using the following simplifying terminology: we say that a compact quantum group G is an R^+-deformation of a compact quantum group H if their fusion semirings are isomorphic. The paper contains also some easy related results (with proofs), two conjectures and many remarks and comments, some of them concerning classification by invariants related to R^+.

25 pages, amslatex. longer introduction & some minor changes

References in corpus (2)

• Exotic subfactors of finite depth with Jones indices (5+sqrt{13})/2 and (5+sqrt{17})/2
• Subfactors associated to compact Kac algebras

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