PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Higher transitive quantum groups: theory and models

Volume 156 / 2019

Teodor Banica Colloquium Mathematicum 156 (2019), 1-14 MSC: Primary 46L65; Secondary 60B15. DOI: 10.4064/cm7473-3-2018 Published online: 3 December 2018

Abstract

We investigate the notion of $k$-transitivity for the quantum permutation groups $G\subset S_N^+$, with a brief review of the known $k=1,2$ results, and with a study of what happens at $k\geq 3$. We then discuss matrix modelling questions for the algebras $C(G)$, notably by introducing the related notions of double and triple flat matrix model. At the level of examples, our main results concern quantum groups coming from complex Hadamard matrices, and from Weyl matrices.

Authors

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

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image