Fusion rules for representations of compact quantum groups

Details Fusion rules for representations of compact quantum groups Fusion rules for representations of compact quantum groups

1998-11-07

arxiv.org/abs/math/9811039v3

Exposition. Math. 17 (1999), 167-198

Mathematics

Quantum Algebra

25 pages, amslatex. longer introduction & some minor changes

Scientific paper

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^+.

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