Pregled bibliografske jedinice broj: 1174403
Heisenberg Doubles for Snyder-Type Models
Heisenberg Doubles for Snyder-Type Models // Symmetry, 13 (2021), 6; 1055, 13 doi:10.3390/sym13061055 (međunarodna recenzija, članak, znanstveni)
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Naslov
Heisenberg Doubles for Snyder-Type Models
Autori
Meljanac, Stjepan ; Pachol, Anna
Izvornik
Symmetry (2073-8994) 13
(2021), 6;
1055, 13
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Snyder spacetime ; Heisenberg double ; realization ; Hopf algebra
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus