Combinatorial bases of modules for affine Lie algebra B 2 (1) |
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Authors: | Mirko Primc |
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Affiliation: | 1. Department of Mathematics, University of Zagreb, Bijeni?ka 30, 10000, Zagreb, Croatia
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Abstract: | We construct bases of standard (i.e. integrable highest weight) modules L(Λ) for affine Lie algebra of type B 2 (1) consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for Feigin-Stoyanovsky type subspaces W(Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W(kΛ0) for B 2 (1) and the integrable highest weight module L(kΛ0) for A 1 (1) have the same parametrization of combinatorial bases and the same presentation P/I. |
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