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We will use the action of G ×μq+1 on Y to construct a morphism between the Grothendieck groups \(\mathscr{K}\) 0(Kμq+1) and \(\mathscr{K}\) 0(KG). To this end, from now on we will view the monoid μq+1⋊⟨F⟩ mon as acting on the right on the Drinfeld curve Y. It follows that the cohomology groups \(H_{c}^{i}\) (Y) inherit the structure of (KG,K[μq+1⋊⟨F⟩mon])-bimodules.

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Deligne-Lusztig Induction

  • 章节

  • 发表日期：

    2026年

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  • Cédric Bonnafé

摘要

We will use the action of G ×μq+1 on Y to construct a morphism between the Grothendieck groups \(\mathscr{K}\) 0(Kμq+1) and \(\mathscr{K}\) 0(KG). To this end, from now on we will view the monoid μq+1⋊⟨F⟩ mon as acting on the right on the Drinfeld curve Y. It follows that the cohomology groups \(H_{c}^{i}\) (Y) inherit the structure of (KG,K[μq+1⋊⟨F⟩mon])-bimodules.