Combinatorial Bases of Modules for Affine Lie
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چکیده
In this paper we construct bases of standard modules L(Λ) for affine Lie algebra of type B (1) 2 consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for FeiginStoyanovsky’s subspaces W (Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W (kΛ0) for B (1) 2 and the standard module L(kΛ0) for A (1) 1 have the same presentation P/I , so our main theorem provides a new proof of linear independence of monomial bases of A (1) 1 -modules L(kΛ0).
منابع مشابه
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تاریخ انتشار 2010