Pregled bibliografske jedinice broj: 380000
Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type $A$.
Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type $A$. // Glasnik matematički, 43 (2008), 41-57 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 380000 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type $A$.
Autori
Perše, Ozren
Izvornik
Glasnik matematički (0017-095X) 43
(2008);
41-57
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
vertex operator algebra; affine Kac-Moody algebra
Sažetak
Let $L(-\frac{;1};{;2};(l+1), 0)$ be the simple vertex operator algebra associated to an affine Lie algebra of type $A_{;l};^{;(1)};$ with the lowest admissible half-integer level $-\frac{;1};{;2};(l+1)$, for even~$l$. We study the category of weak modules for that vertex operator algebra which are in category $\cal{;O};$ as modules for the associated affine Lie algebra. We classify irreducible objects in that category and prove semisimplicity of that category.
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
Profili:
Ozren Perše
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
