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<p>We compute the Green ring of the quasi-Hopf algebra <i>A</i>(<i>n</i>, <i>s</i>, <i>q</i>), where <i>n</i> ≥ 1 is a positive integer greater, <i>s</i> is a factor of <i>n</i>, and <i>q</i> is an <i>n</i><sup>2</sup>-th root of unity. It turns out that the Green ring <i>r</i>(<i>A</i>(<i>n</i>, <i>s</i>, <i>q</i>)) is a commutative ring generated by two elements subject to certain relations.</p>

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The Green Ring of Quasi-Hopf Algebra A(n, s, q)

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Yiyun Zou,
  • Xiaoming Li,
  • Zetao Yin,
  • Hua Sun

摘要

We compute the Green ring of the quasi-Hopf algebra A(n, s, q), where n ≥ 1 is a positive integer greater, s is a factor of n, and q is an n2-th root of unity. It turns out that the Green ring r(A(n, s, q)) is a commutative ring generated by two elements subject to certain relations.