Multiple noncommutative tori and Hopf algebras
Mathematical Physics
2018-06-04 v2 math.MP
Quantum Algebra
Rings and Algebras
Abstract
We derive the Kac-Paljutkin finite-dimensional Hopf algebras as finite fibrations of the quantum double torus and generalize the construction for quantum multiple tori.
Keywords
Cite
@article{arxiv.math-ph/0103034,
title = {Multiple noncommutative tori and Hopf algebras},
author = {Markus Debert and Mario Paschke and Andrzej Sitarz},
journal= {arXiv preprint arXiv:math-ph/0103034},
year = {2018}
}
Comments
18 pages; AMSLaTeX (major revision, the construction of dual rewritten using approach of multiplier Hopf algebras, references added)