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Super-easy quantum groups: definition and examples

Volume 66 / 2018

Teodor Banica Bulletin Polish Acad. Sci. Math. 66 (2018), 57-68 MSC: Primary 46L65. DOI: 10.4064/ba8133-2-2018 Published online: 19 March 2018

Abstract

We investigate the “two-parameter” quantum symmetry groups that we previously constructed with Skalski, with the conclusion that some of these quantum groups, namely those without singletons, are “super-easy” in a suitable sense, which we axiomatize here. Our formalism also covers the symplectic group $Sp_n$ and its free version $Sp_n^+$, and some other interesting examples. Finally, we address the general problem of classifying the super-easy quantum groups, and we make a few comments on it.

Authors

  • Teodor BanicaDepartment of Mathematics
    University of Cergy-Pontoise
    F-95000 Cergy-Pontoise, France
    e-mail

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