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Multiple noncommutative tori and Hopf algebras

arXiv:math-ph/0103034 · doi:10.1081/AGB-120023954

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.

18 pages; AMSLaTeX (major revision, the construction of dual rewritten using approach of multiplier Hopf algebras, references added)