A note on principal subspaces of the affine Lie algebras in types\n B_l⁽¹⁾, C_l⁽¹⁾, F₄⁽¹⁾ and G₂⁽¹⁾

2020/01/27 by Marijana Butorac, Butorac, Marijana
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2001.10060

Abstract

We construct quasi-particle bases of principal subspaces of standard modules\nL(\Λ), where \Λ=k₀\Λ₀+k_j\Λ_j, and \Λ_j\ndenotes the fundamental weight of affine Lie algebras of type B_l⁽¹⁾,\nC_l⁽¹⁾, F₄⁽¹⁾ or G₂⁽¹⁾ of level one. From the given bases we\nfind characters of principal subspaces.\n

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