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<p>In this paper, we show that there are infinitely many semisimple monoidal categories of rank two over an algebraically closed field <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10468_2025_10351_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {F}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">F</mi> </math></EquationSource> </InlineEquation>.</p>

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Notes on Semisimple Monoidal Categories of Rank Two

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • Hua Sun,
  • Hui-Xiang Chen,
  • Yinhuo Zhang

摘要

In this paper, we show that there are infinitely many semisimple monoidal categories of rank two over an algebraically closed field \(\mathbb {F}\) F .