Juanjuan Zhang
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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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.
Key concepts: Cartan subalgebra, Mathematics, Cartan matrix, Kac–Moody algebra, Pure mathematics, Cartan decomposition, Witt algebra, Affine Lie algebra