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<p>We show that the extended Khovanov algebra <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(K^m_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>K</mi> <mi>n</mi> <mi>m</mi> </msubsup> </math></EquationSource> </InlineEquation> is an <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\((|n-m|-1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mo stretchy="false">|</mo> <mi>n</mi> <mo>-</mo> <mi>m</mi> <mo stretchy="false">|</mo> <mo>-</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-faithful cover of the Khovanov arc algebra <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(H^m_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>H</mi> <mi>n</mi> <mi>m</mi> </msubsup> </math></EquationSource> </InlineEquation>.</p>

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Faithful covers of Khovanov arc algebras

  • 期刊论文

  • 发表日期：

    2026年3月2日

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  • C. Bowman,
  • M. De Visscher,
  • A. Dell’Arciprete,
  • A. Hazi,
  • R. Muth,
  • C. Stroppel

摘要

We show that the extended Khovanov algebra \(K^m_n\) K n m is an \((|n-m|-1)\) ( | n - m | - 1 ) -faithful cover of the Khovanov arc algebra \(H^m_n\) H n m .