Presentations of Principal Subspaces of Higher Level Standard A₂⁽²⁾-Modules

2018/06/05 by Corina Calinescu, Calinescu, Corina, Michael Penn +3
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings, Modules, and Algebras #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1806.01634

19 pages, v2: added conjectures related to the Gollnitz-Gordon-Andrews identities

openalex publication_date 2018/06/05 · arxiv created 2019/03/01 · arxiv updated 2019/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the principal subspaces of higher level standard A₂⁽²⁾-modules, extending earlier work in the level one case, by Calinescu, Lepowsky, and Milas. We prove natural presentations of principal subspaces and also of certain related spaces.

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