Pregled bibliografske jedinice broj: 974140
Generalization of Weyl realization to a class of Lie superalgebras
Generalization of Weyl realization to a class of Lie superalgebras // Journal of mathematical physics, 59 (2018), 2; 021701, 10 doi:10.1063/1.5009415 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 974140 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of Weyl realization to a class of Lie superalgebras
Autori
Meljanac, Stjepan ; Krešić-Jurić, Saša ; Pikutić, Danijel
Izvornik
Journal of mathematical physics (0022-2488) 59
(2018), 2;
021701, 10
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Weyl realization ; Lie superalgebras ; noncommutative spaces
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-9582 - Prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologija (Meljanac, Stjepan, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Institut "Ruđer Bošković", Zagreb,
Prirodoslovno-matematički fakultet, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
