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September 10, 2025Nagoya Mathematical Journal

ON REPRESENTATIONS OF SOME ALGEBRAS ASSOCIATED WITH sl₂

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Authors

HCHongjia ChenDXD. Xu

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Overview

This article classifies modules over algebras like affine Kac–Moody algebra, indicating their connections to Weyl algebras.

Key Points

  • Certain modules over algebras associated with sl2 are classified, showing a connection to Weyl algebras.
  • New families of modules are identified that are free of arbitrary finite rank when restricted to the Cartan subalgebra.
  • The simplicity of modules over affine Kac–Moody algebra and their composition factors are fully characterized.
  • A necessary condition for the simplicity of tensor product modules over the affine-Virasoro algebra is derived.

Cite This Study

Chen et al. (2025) studied this question.

synapsesocial.com/papers/68c1d24654b1d3bfb60f85echttps://doi.org/10.1017/nmj.2025.10078
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