Non-weight representations of Cartan type S Lie algebras

2017/07/28 by Juanjuan Zhang, Zhang, Juanjuan · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1707.09083

openalex publication_date 2017/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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