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<p>In this paper, we prove that uniformly bounded simple Lie conformal algebras must be finitely generated as algebras. Furthermore, we give a complete classification of uniformly bounded simple Lie conformal algebras with upper bound one.</p>

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Classification of uniformly bounded simple Lie conformal algebras with upper bound one

  • 期刊论文

  • 发表日期：

    2026年4月4日

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  • Maosen Xu,
  • Huangjie Yu,
  • Lipeng Luo

摘要

In this paper, we prove that uniformly bounded simple Lie conformal algebras must be finitely generated as algebras. Furthermore, we give a complete classification of uniformly bounded simple Lie conformal algebras with upper bound one.