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Type: Artigo
Title: Weyl modules for Lie superalgebras
Author: Calixto, Lucas
Lemay, Joel
Savage, Alistair
Abstract: We define global and local Weyl modules for Lie superalgebras of the form g⊗A, where A is an associative commutative unital C-algebra and g is a basic Lie superalgebra or sl(n,n), n≥2. Under some mild assumptions, we prove universality, finite-dimensionality, and tensor product decomposition properties for these modules. These properties are analogues of those of Weyl modules in the non-super setting. We also point out some features that are new in the super case
Subject: Lie, Superálgebras de
Country: Estados Unidos
Editor: American Mathematical Society
Rights: Fechado
Identifier DOI: 10.1090/proc/13146
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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