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Pregled bibliografske jedinice broj: 448895

Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 1 standard modules for sl^~(l+1, C)


Trupčević, Goran
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:

Avatar Url Goran Trupčević (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi www.tandfonline.com

Citiraj ovu publikaciju:

Trupčević, Goran
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)
Trupčević, G. (2010) Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 1 standard modules for sl^~(l+1, C). Communications in algebra, 38 (10), 3913-3940 doi:10.1080/00927870903366827.
@article{article, author = {Trup\v{c}evi\'{c}, Goran}, year = {2010}, pages = {3913-3940}, DOI = {10.1080/00927870903366827}, keywords = {Affine Lie algebras, Combinatorial bases}, journal = {Communications in algebra}, doi = {10.1080/00927870903366827}, volume = {38}, number = {10}, issn = {0092-7872}, title = {Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 1 standard modules for sl\^{}~(l+1, C)}, keyword = {Affine Lie algebras, Combinatorial bases} }
@article{article, author = {Trup\v{c}evi\'{c}, Goran}, year = {2010}, pages = {3913-3940}, DOI = {10.1080/00927870903366827}, keywords = {Affine Lie algebras, Combinatorial bases}, journal = {Communications in algebra}, doi = {10.1080/00927870903366827}, volume = {38}, number = {10}, issn = {0092-7872}, title = {Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 1 standard modules for sl\^{}~(l+1, C)}, keyword = {Affine Lie algebras, Combinatorial bases} }

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


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