Pregled bibliografske jedinice broj: 575483
Combinatorial bases of modules for affine Lie algebra $B_2\sp{; ; (1)}; ; $
Combinatorial bases of modules for affine Lie algebra $B_2\sp{; ; (1)}; ; $ // Central European Journal of Mathematics, 11 (2013), 2; 197-225 doi:10.2478/s11533-012-0111-x (međunarodna recenzija, članak, znanstveni)
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Naslov
Combinatorial bases of modules for affine Lie algebra $B_2\sp{; ; (1)}; ; $
Autori
Primc, Mirko
Izvornik
Central European Journal of Mathematics (1895-1074) 11
(2013), 2;
197-225
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
affine Lie algebras; vertex operator algebras; combinatorial bases
Sažetak
In this paper we construct bases of standard (i.e. integrable highest weight) modules $L(\Lambda)$ for affine Lie algebra of type $B_2\sp{; ; (1)}; ; $ consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for Feigin-Stoyanovsky type subspaces $W(\Lambda)$ of $L(\Lambda)$ by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence $W(k\Lambda_0)$ for $B_2\sp{; ; (1)}; ; $ and the integrable highest weight module $L(k\Lambda_0)$ for $A_1\sp{; ; (1)}; ; $ have the same parametrization of combinatorial bases and the same presentation $\mathcal P/\mathcal I$\, .
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:
Mirko Primc
(autor)
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada doi link.springer.com download.springer.comCitiraj 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
