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Generalization of Weyl realization to a class of Lie superalgebras (CROSBI ID 257926)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Meljanac, Stjepan ; Krešić-Jurić, Saša ; Pikutić, Danijel Generalization of Weyl realization to a class of Lie superalgebras // Journal of mathematical physics, 59 (2018), 2; 021701, 10. doi: 10.1063/1.5009415

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

Povezanost rada

Matematika, Fizika

Poveznice
Indeksiranost