Generalized Heisenberg algebra, realizations of the gl(n) algebra and applications (CROSBI ID 304840)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Meljanac, Stjepan ; Škoda, Zoran ; Štrajn, Rina
engleski
Generalized Heisenberg algebra, realizations of the gl(n) algebra and applications
We introduce the generalized Heisenberg algebra appropriate for realizations of the 𝔤𝔩(𝑛) algebra. Linear realizations of the 𝔤𝔩(𝑛) algebra are presented and the corresponding star product, coproduct of momenta and twist are constructed. The dual realization and dual 𝔤𝔩(𝑛) algebra are considered. Finally, we present a general realization of the 𝔤𝔩(𝑛) algebraL the corresponding coproduct of momenta and two classes of twists. These results can be applied to physical theories on noncommutative spaces of the 𝔤𝔩(𝑛).
realizations ; gl(n) algebra ; twist ; noncommutative space
This work has been started during the Franco-Croatian joint program Cogito, the project Systèmes intégrables et structures non-commutatives supported by Egide.
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Podaci o izdanju
89 (1)
2022.
131-140
objavljeno
0034-4877
10.1016/S0034-4877(22)00013-1