Vertex-algebraic structure of principal subspaces of standard\n A₂⁽²⁾-modules, I

2014/02/12 by Corina Calinescu, Calinescu, Corina, James Lepowsky +3
Mathematics · Physics and Astronomy · #17B65 #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1402.3026

openalex publication_date 2014/02/12 · openalex created_date 2022/09/04 · openalex updated_date 2026/07/28

Abstract

Extending earlier work of the authors, this is the first in a series of\npapers devoted to the vertex-algebraic structure of principal subspaces of\nstandard modules for twisted affine Kac-Moody algebras. In this part, we\ndevelop the necessary theory of principal subspaces for the affine Lie algebra\nA₂⁽²⁾, which we expect can be extended to higher rank algebras. As a "test\ncase," we consider the principal subspace of the basic A₂⁽²⁾-module and\nexplore its structure in depth.\n

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