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<p>We define the twisted affine Yangian of type <i>C</i> and construct surjective homomorphisms from twisted affine Yangians of type <i>C</i> to the universal enveloping algebra of the rectangular <i>W</i>-algebra associated with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathfrak {so}(ln)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="fraktur">so</mi> <mo stretchy="false">(</mo> <mi>l</mi> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> and a nilpotent element whose Jordan form corresponds to the partition <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\((l^n)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msup> <mi>l</mi> <mi>n</mi> </msup> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> in the case when <i>l</i> and <i>n</i> are even.</p>

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Twisted Affine Yangian and Rectangular W-algebra of type D

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • Mamoru Ueda

摘要

We define the twisted affine Yangian of type C and construct surjective homomorphisms from twisted affine Yangians of type C to the universal enveloping algebra of the rectangular W-algebra associated with \(\mathfrak {so}(ln)\) so ( l n ) and a nilpotent element whose Jordan form corresponds to the partition \((l^n)\) ( l n ) in the case when l and n are even.