Pregled bibliografske jedinice broj: 448888
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard sl^~(l+1, C)-modules
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard sl^~(l+1, C)-modules // Journal of algebra, 322 (2009), 10; 3744-3774 doi:10.1016/j.jalgebra.2009.07.024 (međunarodna recenzija, članak, znanstveni)
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Naslov
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard sl^~(l+1, C)-modules
Autori
Trupčević, Goran
Izvornik
Journal of algebra (0021-8693) 322
(2009), 10;
3744-3774
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Affine Lie algebras; Combinatorial bases
Sažetak
Let g^~ be an affine Lie algebra of the type A_l^(1). We find a combinatorial basis of Feigin–Stoyanovsky's type subspace W(Λ) given in terms of difference and initial conditions. Linear independence of the generating set is proved inductively by using coefficients of intertwining operators. A basis of the standard g^~-module L(Λ) is obtained as an “inductive limit” of the basis of W(Λ).
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:
Goran Trupčević
(autor)
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::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
