Discrete Heisenberg-Weyl Group and Modular Group
read the original abstract
It is shown that the generators of two discrete Heisenberg-Weyl groups with irrational rotation numbers $\theta$ and $-1/ \theta$ 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
From hyperbolic to complex Euler integrals
The univariate hyperbolic beta integral and conical function degenerate to two-dimensional complex-plane integrals via uniform bounds on the integrands.
-
Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects
Constructs quantized trace-of-monodromy via Bonahon-Wong maps and verifies Teschner recursion plus strong commutation for disjoint loops in Chekhov-Fock quantum Teichmüller theory.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.