ar X iv : 0 90 1 . 23 31 v 1 [ m at h . O A ] 1 5 Ja n 20 09 REPRESENTATIONS OF QUANTUM PERMUTATION ALGEBRAS

Abstract

We develop a combinatorial approach to the quantum permutation algebras , as Hopf images of representations of type π : A s (n) → B(H). We discuss several general problems, including the commutativity and cocommutativity ones, the existence of tensor product or free wreath product decompositions, and the Tan-nakian aspects of the construction. The main… (More)

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Cite this paper

@inproceedings{Banica2009arXI, title={ar X iv : 0 90 1 . 23 31 v 1 [ m at h . O A ] 1 5 Ja n 20 09 REPRESENTATIONS OF QUANTUM PERMUTATION ALGEBRAS}, author={Teodor Banica and Julien Bichon and JEAN - MARC SCHLENKER}, year={2009} }