The Haar state on the Vaksman-Soibelman quantum spheres
Max Holst Mikkelsen, Jens Kaad
TL;DR
This paper provides explicit formulas for the Haar state on Vaksman-Soibelman quantum spheres, correcting previous inaccuracies and using properties of the modular automorphism group for a straightforward proof.
Contribution
It offers the first explicit formulas for the Haar state on these quantum spheres and clarifies previous misconceptions in the literature.
Findings
Explicit formulas for the Haar state are derived.
Previous literature statements are corrected.
Proof relies on properties of the modular automorphism group.
Abstract
In this note we present explicit formulae for the Haar state on the Vaksman-Soibelman quantum spheres. Our formulae correct various statements appearing in the literature and our proof is straightforward relying simply on properties of the modular automorphism group for the Haar state.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics