Non-weight representations of Cartan type S Lie algebras

2018/08/22 by Juanjuan Zhang · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · doi:10.1080/00927872.2018.1424885

Abstract

For the two Cartan type S subalgebras of the Witt algebra 𝒲n, called Lie algebras of divergence-zero vector fields, we determine all module structures on the universal enveloping algebra of their Cartan subalgebra 𝔥n. We also give all submodules of these modules.

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• Non-weight modules over algebras related to the 2d supersymmetric Galilean conformal algebra
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