<p>Let <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1980_Article_IEq6.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">$\mu $</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation> be an arbitrary composition of <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1980_Article_IEq7.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="56" /> </InlineMediaObject> <EquationSource Format="TEX">$M+N$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mo>+</mo> <mi>N</mi> </mrow> </math></EquationSource> </InlineEquation> and let <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1980_Article_IEq8.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathfrak {s}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="fraktur">s</mi> </math></EquationSource> </InlineEquation> be an arbitrary <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1980_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="42" /> </InlineMediaObject> <EquationSource Format="TEX">$0^{M}1^{N}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mn>0</mn> <mi>M</mi> </msup> <msup> <mn>1</mn> <mi>N</mi> </msup> </mrow> </math></EquationSource> </InlineEquation>-sequence. The present paper is devoted to extending parabolic presentations, depending on <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1980_Article_IEq6.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">$\mu $</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1980_Article_IEq8.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathfrak {s}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="fraktur">s</mi> </math></EquationSource> </InlineEquation>, of the super Yangian <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1980_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="TEX">$Y_{M|N}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>Y</mi> <mrow> <mi>M</mi> <mo stretchy="false">|</mo> <mi>N</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> associated with the general linear Lie superalgebra <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11005_2025_1980_Article_IEq13.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">${\mathfrak g\mathfrak l}_{M|N}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="fraktur">g</mi> <mi mathvariant="fraktur">l</mi> </mrow> <mrow> <mi>M</mi> <mo stretchy="false">|</mo> <mi>N</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>, to a field of positive characteristic.</p>

Parabolic presentations of the modular super Yangian $Y_{M|N}$ for arbitrary $0^{M}1^{N}$-sequences

期刊论文
发表日期：

2025年9月5日

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Hongmei Hu

摘要

Let $\mu $ $μ$ be an arbitrary composition of $M+N$ $M + N$ and let $\mathfrak {s}$ $s$ be an arbitrary $0^{M}1^{N}$ $0^{M} 1^{N}$ -sequence. The present paper is devoted to extending parabolic presentations, depending on $\mu $ $μ$ and $\mathfrak {s}$ $s$ , of the super Yangian $Y_{M|N}$ $Y_{M | N}$ associated with the general linear Lie superalgebra ${\mathfrak g\mathfrak l}_{M|N}$ ${g l}_{M | N}$ , to a field of positive characteristic.

Parabolic presentations of the modular super Yangian \(Y_{M|N}\) for arbitrary \(0^{M}1^{N}\)-sequences

摘要