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<p>We study inhomogeneous projective oscillator representations of Lie superalgebras of <i>Q</i>-type on supersymmetric polynomial algebras. These representations are infinite-dimensional. We prove that they are completely reducible. Moreover, these modules are explicitly decomposed as direct sums of two irreducible submodules.</p>

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Projective Oscillator Representations of Strange Lie Superalgebras of Q-Type

  • 期刊论文

  • 发表日期：

    2025年12月15日

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  • Ling Chen,
  • Minggang Wei

摘要

We study inhomogeneous projective oscillator representations of Lie superalgebras of Q-type on supersymmetric polynomial algebras. These representations are infinite-dimensional. We prove that they are completely reducible. Moreover, these modules are explicitly decomposed as direct sums of two irreducible submodules.