Scholarlink

<p>We consider the affine Lie algebra <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13226_2024_739_Article_IEq3.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(\widehat{\mathfrak {sl}_2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <msub> <mi mathvariant="fraktur">sl</mi> <mn>2</mn> </msub> <mo stretchy="true">^</mo> </mover> </math></EquationSource> </InlineEquation> and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We construct crystals for these submodules in terms of the charged partitions model and describe their decomposition into irreducibles.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Crystals for Kostant-Kumar modules of \(\widehat{\mathfrak {sl}_2}\)

  • 期刊论文

  • 发表日期：

    2025年1月6日

查看全文
  • Mrigendra Singh Kushwaha,
  • K. N. Raghavan,
  • Sankaran Viswanath

摘要

We consider the affine Lie algebra \(\widehat{\mathfrak {sl}_2}\) sl 2 ^ and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We construct crystals for these submodules in terms of the charged partitions model and describe their decomposition into irreducibles.