Galois group action and Jordan decomposition of characters of finite\n reductive groups with connected center

2018/08/21 by Bhama Srinivasan, Srinivasan, Bhama, C. Ryan Vinroot +1 · 2 citations
Chemistry · Mathematics · #20C33 #Advanced Algebra and Geometry #Crystal structures of chemical compounds #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1808.07116

openalex publication_date 2018/08/21 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

Let \G be a connected reductive group with connected center defined\nover mathbbF_q, with Frobenius morphism F. Given an irreducible complex\ncharacter \χ of \G^F with its Jordan decomposition, and a Galois\nautomorphism \σ \∈ \Gal(\\ℚ/\ℚ), we\ngive the Jordan decomposition of the image ^\σ \χ of \χ under the\naction of \σ on its character values.\n

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• The Isaacs--Navarro Galois conjecture
• Towards the inductive McKay--Navarro Condition for groups of Lie type

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