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- Title
Heisenberg Doubles for Snyder-Type Models.
- Authors
Meljanac, Stjepan; Pachoł, Anna
- Abstract
A Snyder model generated by the noncommutative coordinates and Lorentz generators closes a Lie algebra. The application of the Heisenberg double construction is investigated for the Snyder coordinates and momenta generators. This leads to the phase space of the Snyder model. Further, the extended Snyder algebra is constructed by using the Lorentz algebra, in one dimension higher. The dual pair of extended Snyder algebra and extended Snyder group is then formulated. Two Heisenberg doubles are considered, one with the conjugate tensorial momenta and another with the Lorentz matrices. Explicit formulae for all Heisenberg doubles are given.
- Subjects
LIE algebras; PHASE space; ALGEBRA; QUANTUM groups; NONCOMMUTATIVE algebras
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 6, p1055
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13061055