Pregled bibliografske jedinice broj: 320419
Representations of certain non-rational vertex operator algebras of affine type
Representations of certain non-rational vertex operator algebras of affine type // Journal of Algebra, 319 (2008), 6; 2434-2450 doi:10.1016/j.jalgebra.2008.01.003 (međunarodna recenzija, članak, znanstveni)
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Naslov
Representations of certain non-rational vertex operator algebras of affine type
Autori
Adamović, Dražen ; Perše, Ozren
Izvornik
Journal of Algebra (0021-8693) 319
(2008), 6;
2434-2450
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
vertex operator algebra; generalized Verma module; singular vectors; Affine Kac– Moody algebra; Zhu's algebra; category O
Sažetak
In this paper we study a series of vertex operator algebras of integer level associated to the affine Lie algebra $A_l ^1$. These vertex operator algebras are constructed by using the explicit construction of certain singular vectors in the universal affine vertex operator algebra $N_l(n− 2, 0)$ at the integer level. In the case n=1 or l=2, we explicitly determine Zhu's algebras and classify all irreducible modules in the category. In the case l=2, we show that the vertex operator algebra $N_2(n− 2, 0)$ contains two linearly independent singular vectors of the same conformal weight.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372794-2806 - Algebre verteks-operatora i beskonačno dimenzionalne Liejeve algebre (Primc, Mirko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
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
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt fur Mathematik
