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Pregled bibliografske jedinice broj: 597715

Časopis

Autori: Meljanac, Stjepan; Krešić Jurić, Saša; Štrajn, Rina
Naslov: Differential algebras on kappa-Minkowski space and action of the Lorentz algebra
( Differential algebras on kappa-Minkowski space and action of the Lorentz algebra )
Izvornik: International journal of modern physics A (0217-751X) 27 (2012), 10; 1250057-1-1250057-13
Vrsta rada: članak
Ključne riječi: kappa-Minkowski space; Lorenz algebra; realizations; differential algebra; covariance
( kappa-Minkowski space; Lorenz algebra; realizations; differential algebra; covariance )
Sažetak:
We propose two families of differential algebras of classical dimension on kappa-Minkowski space. The algebras are constructed using realizations of the generators as formal power series in a Weyl superalgebra. We also propose a novel realization of the Lorentz algebra so(1, n−1) in terms of Grassmann-type variables. Using this realization we construct an action of so(1, n−1) on the two families of algebras. Restriction of the action to kappa-Minkowski space is covariant. In contrast to the standard approach the action is not Lorentz covariant except on constant one-forms, but it does not require an extra cotangent direction.
Projekt / tema: 177-0372794-2816, 098-0000000-2865
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika,Fizika
URL Internet adrese: http://www.worldscientific.com/doi/abs/10.1142/S0217751X12500571
Broj citata:
Altmetric:
DOI: 10.1142/S0217751X12500571
URL cjelovitog teksta:
Google Scholar: Differential algebras on kappa-Minkowski space and action of the Lorentz algebra
Upisao u CROSBI: skresic@pmfst.hr (skresic@pmfst.hr), 12. Lis. 2012. u 00:21 sati



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