Scholarlink

<p>We formulate and classify super Satake diagrams under a mild assumption, building on arbitrary Dynkin diagrams for finite-dimensional basic Lie superalgebras. We develop a theory of quantum supersymmetric pairs associated to the super Satake diagrams. We establish the quantum Iwasawa decomposition and construct quasi <i>K</i>-matrix associated with the quantum supersymmetric pairs. We also formulate a Schur duality between an <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="220_2025_5339_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(\imath \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ı</mi> </math></EquationSource> </InlineEquation>quantum supergroup (which is a new <i>q</i>-deformation of an ortho-symplectic Lie superalgebra) and the <i>q</i>-Brauer algebra.</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

Quantum Supersymmetric Pairs of Basic Types

  • 期刊论文

  • 发表日期：

    2025年7月2日

查看全文
  • Yaolong Shen,
  • Weiqiang Wang

摘要

We formulate and classify super Satake diagrams under a mild assumption, building on arbitrary Dynkin diagrams for finite-dimensional basic Lie superalgebras. We develop a theory of quantum supersymmetric pairs associated to the super Satake diagrams. We establish the quantum Iwasawa decomposition and construct quasi K-matrix associated with the quantum supersymmetric pairs. We also formulate a Schur duality between an \(\imath \) ı quantum supergroup (which is a new q-deformation of an ortho-symplectic Lie superalgebra) and the q-Brauer algebra.