Fixed points under pinning-preserving automorphisms of reductive group schemes

2022/12/20 by Pramod N. Achar, João Lourenço, Achar, Pramod N. +5 · 1 citation
Chemistry · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Axial and Atropisomeric Chirality Synthesis #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2212.10182

openalex publication_date 2022/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we determine the scheme-theoretic fixed points of pinned reductive group schemes acted upon by a group of pinning-preserving automorphisms. The results are used in a companion paper to establish a ramified geometric Satake equivalence with integral or modular coefficients.

Citations

• Moduli of Langlands Parameters

Cited by

• Algebraic Magnetism

Related

• The Geometric Satake Correspondence for Ramified Groups
• Springer isomorphisms over a general base scheme
• The integral motivic Satake equivalence for ramified groups
• Some applications of the geometric Satake equivalence to modular representation theory
• Algebraicity and smoothness of fixed point stacks