Generalization of Weyl realization to a class of Lie superalgebras (CROSBI ID 257926)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Meljanac, Stjepan ; Krešić-Jurić, Saša ; Pikutić, Danijel
engleski
Generalization of Weyl realization to a class of Lie superalgebras
This paper generalizes Weyl realization to a class of Lie superalgebras $g=g_0 \oplus g_1$ satisfying $[g_0, g_1]=\{; ; ; ; 0\}; ; ; ; $. First, we present a novel proof of the Weyl realization of a Lie algebra $g_0$ by deriving a functional equation for the function that defines the realization. We show that this equation has a unique solution given by the generating function for the Bernoulli numbers. This method is then generalized to Lie superalgebras of the above type.
Weyl realization ; Lie superalgebras ; noncommutative spaces
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Podaci o izdanju
59 (2)
2018.
021701
10
objavljeno
0022-2488
1089-7658
10.1063/1.5009415