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arXiv · hep-th/9504111

Discrete Heisenberg-Weyl Group and Modular Group

L. Faddeev
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Abstract

It is shown that the generators of two discrete Heisenberg-Weyl groups with irrational rotation numbers $θ$ and $-1/ θ$ generate the whole algebra $\cal B$ of bounded operators on $L_2(\bf R)$. The natural action of the modular group in $\cal B$ is implied. Applications to dynamical algebras appearing in lattice regularization and some duality principles are discussed.

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L. Faddeev. 1995-04-21. Discrete Heisenberg-Weyl Group and Modular Group. https://doi.org/10.1007/bf01872779

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