Scholarlink

<p>We study inhomogeneous oscillator representations of the strange Lie superalgebras <i>P</i>(<i>n</i>) on supersymmetric polynomial algebras and on spaces of supersymmetric exponential-polynomial functions. We obtain the composition series for these representations. The obtained irreducible modules are infinite dimensional. Some of them are not of highest-weight type and even not weight modules.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Inhomogeneous Oscillator Representations of P(n)

  • 期刊论文

  • 发表日期：

    2025年7月15日

查看全文
  • Ling Chen

摘要

We study inhomogeneous oscillator representations of the strange Lie superalgebras P(n) on supersymmetric polynomial algebras and on spaces of supersymmetric exponential-polynomial functions. We obtain the composition series for these representations. The obtained irreducible modules are infinite dimensional. Some of them are not of highest-weight type and even not weight modules.