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<p>Over a field of characteristic <i>p</i> &gt; 3, the first cohomology of Witt algebra with coefficients in all restricted Verma modules and restricted simple modules is determined by use of the weight space decompositions relative to the standard Cartan subalgebra and the standard ℤ-gradings of these modules.</p>

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Cohomology of Witt Algebra in Prime Characteristic

  • 期刊论文

  • 发表日期：

    2025年1月5日

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  • Jixia Yuan,
  • Wende Liu

摘要

Over a field of characteristic p > 3, the first cohomology of Witt algebra with coefficients in all restricted Verma modules and restricted simple modules is determined by use of the weight space decompositions relative to the standard Cartan subalgebra and the standard ℤ-gradings of these modules.