Published December 1991
| Version v1
Journal article
Quantum E(2) group and and its Pontryagin dual
Creators
- 1. ETH, Zurich (Switzerland)
- 2. Dept. of Mathematical Methods in Physics, Univ. of Warsaw (Poland)
Description
The quantum deformation of the group of motions of the plane and its Pontryagin dual are described in detail. It is shown that the Pontryagin dual is a quantum deformation of the group of transformations of the plane generated by translations and dilations. An explicit expression for the unitary bicharacter describing the Pontryagin duality is found. The Heisenberg commutation relations are written down. (orig.)
Additional details
Publishing Information
- Journal Title
- Letters in Mathematical Physics
- Journal Volume
- 23
- Journal Issue
- 4
- Series
- Lett. Math. Phys.
- Journal Page Range
- 251-263
- ISSN
- 0377-9017
- CODEN
- LMPHD
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 23032681
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- COMMUTATION RELATIONS; DEFORMATION; DUALITY; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; QUANTUM MECHANICS; QUANTUM OPERATORS; SO-2 GROUPS
- Descriptors DEC
- BANACH SPACE; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; SO GROUPS; SPACE; SYMMETRY GROUPS