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<p>We characterize the global solvability, in each level of the complex, of a differential complex associate to an involutive system of real vector fields defined on the product of the <i>n</i>-dimensional torus and a compact Lie group. Also we compute the induced cohomology groups. Our results are linked to a certain algebraic condition.</p>

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A differential complex on a compact Lie group

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月24日

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  • Paulo L. Dattori da Silva,
  • Fernanda M. Simão

摘要

We characterize the global solvability, in each level of the complex, of a differential complex associate to an involutive system of real vector fields defined on the product of the n-dimensional torus and a compact Lie group. Also we compute the induced cohomology groups. Our results are linked to a certain algebraic condition.