2010/02/18 by Mirko Primc, Primc, Mirko
Mathematics · Physics and Astronomy · #05A19 (Secondary) #17B67 (Primary) 17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1002.3535
openalex publication_date 2010/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we construct bases of standard (i.e. integrable highest weight) modules L(Λ) for affine Lie algebra of type B2\sp(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 B2\sp(1) and the integrable highest weight module L(kΛ0) for A1\sp(1) have the same parametrization of combinatorial bases and the same presentation \mathcal P/\mathcal I .