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<p>We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1896_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="48" /> </InlineMediaObject> <EquationSource Format="TEX">\(Y(\mathfrak {gl}_n)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>Y</mi> <mo stretchy="false">(</mo> <msub> <mi mathvariant="fraktur">gl</mi> <mi>n</mi> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>.</p>

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New combinatorial formulae for nested Bethe vectors II

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月28日

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  • Maksim Kosmakov,
  • Vitaly Tarasov

摘要

We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian \(Y(\mathfrak {gl}_n)\) Y ( gl n ) .