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<p>We show that braid varieties for any complex simple algebraic group <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <mi>G</mi> </math></EquationSource> <EquationSource Format="TEX">$G$</EquationSource> </InlineEquation> are cluster varieties. This includes open Richardson varieties inside the flag variety <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math> <mi>G</mi> <mo stretchy="false">/</mo> <mi>B</mi> </math></EquationSource> <EquationSource Format="TEX">$G/B$</EquationSource> </InlineEquation>.</p>

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Braid variety cluster structures, II: general type

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年11月20日

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  • Pavel Galashin,
  • Thomas Lam,
  • Melissa Sherman-Bennett

摘要

We show that braid varieties for any complex simple algebraic group G $G$ are cluster varieties. This includes open Richardson varieties inside the flag variety G / B $G/B$ .