DISCRETE HEISENBERG-WEYL GROUP AND MODULAR GROUP

Authors
FADDEEV LD
Citation
Ld. Faddeev, DISCRETE HEISENBERG-WEYL GROUP AND MODULAR GROUP, letters in mathematical physics, 34(3), 1995, pp. 249-254
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
34
Issue
3
Year of publication
1995
Pages
249 - 254
Database
ISI
SICI code
0377-9017(1995)34:3<249:DHGAMG>2.0.ZU;2-G
Abstract
It is shown that the generators of two discrete Heisenberg-Weyl groups with irrational rotation numbers theta and -1/theta generate the whol e algebra B of operators on L(2)(R). The natural action of the modular group in B is implied. Applications to dynamical algebras appearing i n lattice regularization and some duality principles are discussed.