Reducedness of twisted loop groups

2025/10/09 by Zhiyuan Ding, Ding, Zhiyuan
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Mathematics and Applications #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2510.07805

openalex publication_date 2025/10/09 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

We give an elementary proof of the reducedness of twisted loop groups along the lines of the Kneser-Tits problem.

Citations

• Distributions and normality theorems
• Singularities of local models
• Trading degree for dimension in the section conjecture: The non-abelian Shapiro Lemma
• Twisted loop groups and their affine flag varieties

Related

• On reduced twisted group C*-algebras that are simple and/or have a unique trace
• Twisted K-theory and loop groups
• Subfactors and Connes fusion for twisted loop groups
• Simple loop conjecture for limit groups
• Borel--Serre type bordifications and Canonical Pairs for Loop groups