Pregled bibliografske jedinice broj: 448895
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 1 standard modules for sl^~(l+1, C)
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 1 standard modules for sl^~(l+1, C) // Communications in algebra, 38 (2010), 10; 3913-3940 doi:10.1080/00927870903366827 (međunarodna recenzija, članak, znanstveni)
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Naslov
Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 1 standard modules for sl^~(l+1, C)
Autori
Trupčević, Goran
Izvornik
Communications in algebra (0092-7872) 38
(2010), 10;
3913-3940
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). Suppose we're given a Z-gradation of the corresponding simple finite-dimensional Lie algebra g=g_-1+g_0+g_1 ; then we also have the induced Z-gradation of the affine Lie algebra g^~=g^~_-1+g^~_0+g^~_1. Let L(Lambda) be a standard module of level 1. Feigin-Stoyanovsky's type subspace W(Lambda) is the g^~_1-submodule of L(Lambda) generated by the highest-weight vector v_Lambda, W(Lambda)=U(g^~_1) v_Lambda \subset L(Lambda). We find a combinatorial basis of W(Lambda) given in terms of difference and initial conditions.
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