Strictly transversal slices to conjugacy classes in algebraic groups

2014/03/17 by A. Sevostyanov, Sevostyanov, A.
Mathematics · #20G07 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1403.4108

openalex publication_date 2014/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that for every conjugacy class O in a connected semisimple algebraic group G over a field of characteristic good for G one can find a special transversal slice S to the set of conjugacy classes in G such that O intersects S and dim O = codim S.

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