Pregled bibliografske jedinice broj: 728118
A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{;;; ; (1)};;; ; $
A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{;;; ; (1)};;; ; $ // Contemporary mathematics - American Mathematical Society, 623 (2014), 1-12 doi:10.1090/conm/623 (recenziran, članak, znanstveni)
CROSBI ID: 728118 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{;;; ; (1)};;; ; $
Autori
Adamović, Dražen
Izvornik
Contemporary mathematics - American Mathematical Society (0271-4132) 623
(2014);
1-12
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
vertex superalgebras ; affine Lie algebras ; critical level ; Wakimoto modules
(vertex superalgebras ; affine Lie algebras ; critical level ; Wakimoto module)
Sažetak
By using methods developed in (D. Adamović, Communications in Mathematical Physics, 2007) we study the irreducibility of certain Wakimoto modules for affine Lie algebra A_1 ^(1) at the critical level. We classify all χ∈C((z)) such that the corresponding Wakimoto module Wχ is irreducible. It turns out that zeros of Schur polynomials play important rule in the classification result.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (ACMVAT) (Adamović, Dražen, HRZZ - 2013-11) ( CroRIS)
MZOS-037-0372794-2806 - Algebre verteks-operatora i beskonačno dimenzionalne Liejeve algebre (Primc, Mirko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Dražen Adamović
(autor)
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Zentrallblat fur Mathematik
