Classification of Category J Modules for Divergence Zero Vector Fields on a Torus

2016/07/24 by Billig, Yuly, Talboom, John
#17B10 #17B66 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1607.07067

Abstract

We consider a category of modules that admit compatible actions of the commutative algebra of Laurent polynomials and the Lie algebra of divergence zero vector fields on a torus and have a weight decomposition with finite dimensional weight spaces. We classify indecomposable and irreducible modules in this category.

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