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Versal Family of Reductive Groups

2025/01/28 by Shahar Dagan, Dagan, Shahar
Chemistry · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Axial and Atropisomeric Chirality Synthesis #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2501.17027

openalex publication_date 2025/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we construct a family of reductive groups, including all reductive groups up to a given rank. We also construct a similar versal family of quasi-split reductive groups. This result generalizes a former result of N.Avni and R.Aizenbud and provides a framework for systematically studying invariants of reductive groups with bounded rank.

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