Discrete Heisenberg-Weyl Group and modular group
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It is shown that the generators of two discrete Heisenberg-Weyl groups with irrational rotation numbers θ and −1/θ generate the whole algebraB of operators onL2(R). The natural action of the modular group inB is implied. Applications to dynamical algebras appearing in lattice regularization and some duality principles are discussed.
Mathematics Subject Classification (1991)47A60 47A67 22D25
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