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Combinatorial bases of modules for affine Lie algebra $B_2\sp{; ; (1)}; ; $ (CROSBI ID 183077)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Primc, Mirko 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

Podaci o odgovornosti

Primc, Mirko

engleski

Combinatorial bases of modules for affine Lie algebra $B_2\sp{; ; (1)}; ; $

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 $\mathcal P/\mathcal I$\, .

affine Lie algebras; vertex operator algebras; combinatorial bases

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Podaci o izdanju

11 (2)

2013.

197-225

objavljeno

1895-1074

10.2478/s11533-012-0111-x

Povezanost rada

Matematika

Poveznice
Indeksiranost