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Quantum Double-Torus

P. M. Hajac·T. Masuda
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Abstract

A symmetry extending the $T^2$-symmetry of the noncommutative torus $T^2_q$ is studied in the category of quantum groups. This extended symmetry is given by the quantum double-torus defined as a compact matrix quantum group consisting of the disjoint union of $T^2$ and $T^2_{q^2}$. The bicross-product structure of the polynomial Hopf algebra of the quantum double-torus is computed. The Haar measure and the complete list of unitary irreducible representations of the quantum double-torus are determined explicitly.

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BibTeXRIS

P. M. Hajac, T. Masuda. 1998-09-24. Quantum Double-Torus. https://doi.org/10.1016/s0764-4442(98)89162-3

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