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<p>We gather tools for proving the inductive McKay–Navarro (or Galois–McKay) condition for groups of Lie type and odd primes. We use this to establish a bijection in the case of quasisimple groups of Lie type <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathrm A\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">A</mi> </math></EquationSource> </InlineEquation> satisfying the equivariance properties needed for the condition. We also prove the inductive condition for the subset of unipotent characters in almost all types.</p>

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Towards the inductive McKay–Navarro condition for groups of Lie type

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月24日

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  • Lucas Ruhstorfer,
  • A. A. Schaeffer Fry,
  • Britta Späth,
  • Jay Taylor

摘要

We gather tools for proving the inductive McKay–Navarro (or Galois–McKay) condition for groups of Lie type and odd primes. We use this to establish a bijection in the case of quasisimple groups of Lie type \(\mathrm A\) A satisfying the equivariance properties needed for the condition. We also prove the inductive condition for the subset of unipotent characters in almost all types.