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<p>Over an algebraically closed field of characteristic <i>p</i> &gt; 2, the 0-dimensional and 1-dimensional cohomology of the queer Lie superalgebra <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\frak{q}}(2)\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mrow> <mi mathvariant="fraktur">q</mi> </mrow> </mrow> <mo stretchy="false">(</mo> <mn>2</mn> <mo stretchy="false">)</mo> </math></EquationSource> </InlineEquation> with coefficients in all baby Verma modules and all simple modules are determined.</p>

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Cohomology of \({\frak{q}}(2)\) in Prime Characteristic

  • 期刊论文

  • 发表日期：

    2026年5月25日

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  • Shujuan Wang,
  • Wende Liu,
  • Yang Liu

摘要

Over an algebraically closed field of characteristic p > 2, the 0-dimensional and 1-dimensional cohomology of the queer Lie superalgebra \({\frak{q}}(2)\) q ( 2 ) with coefficients in all baby Verma modules and all simple modules are determined.