Multiple Noncommutative Tori and Hopf Algebras

Markus Debert Institut für Physik, Johannes-Gutenberg Universität, Mainz, Germany; Institut für Physik, Johannes-Gutenberg Universität, Mainz, 55130, GermanyCorrespondence[email protected]

Mario Paschke Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany; Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22-26, Leipzig, 04103, GermanyCorrespondence[email protected]

Andrzej Sitarz Institute of Physics, Jagiellonian University, Kraków, Poland; Institute of Physics, Jagiellonian University, Reymonta 4, Kraków, 30-059, PolandCorrespondence[email protected]

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.

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Acknowledgments

A. Sitarz acknowledges support by Polish Committee for Scientific Research, KBN grant 2P03B 023 14 in the early stage of the work and Marie Curie Fellowship at Laboratoire de Physique Théorique, Batiment 210 Université Paris XI, 91405 Orsay Cedex, France.

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Multiple Noncommutative Tori and Hopf Algebras

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Multiple Noncommutative Tori and Hopf Algebras

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