Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

The Weyl realizations of Lie algebras, and left-right duality (CROSBI ID 232006)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Meljanac, Stjepan ; Krešić-Jurić, Saša ; Martinić, Tea The Weyl realizations of Lie algebras, and left-right duality // Journal of mathematical physics, 57 (2016), 5; 051704-1-051704-14. doi: 10.1063/1.4948991

Podaci o odgovornosti

Meljanac, Stjepan ; Krešić-Jurić, Saša ; Martinić, Tea

engleski

The Weyl realizations of Lie algebras, and left-right duality

We investigate dual realizations of non-commutative spaces of Lie algebra type in terms of formal power series in the Weyl algebra. To each realization of a Lie algebra g we associate a star-product on the symmetric algebra S(g) and an ordering on the enveloping algebra U(g). Dual realizations of g are defined in terms of left- right duality of the star-products on S(g). It is shown that the dual realizations are related to an extension problem for g by shift operators whose action on U(g) describes left and right shift of the generators of U(g) in a given monomial. Using properties of the extended algebra, in the Weyl symmetric ordering we derive closed form expressions for the dual realizations of g in terms of two generating functions for the Bernoulli numbers. The theory is illustrated by considering the kappa- deformed space.

realizations of Lie algebras ; Weyl algebra ; star-product ; Weyl symmetric ordering ; left-right duality ; kappa-deformed space

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

57 (5)

2016.

051704-1-051704-14

objavljeno

0022-2488

10.1063/1.4948991

Povezanost rada

Fizika, Matematika

Poveznice
Indeksiranost