Versal Family of Reductive Groups

Fuente: arXiv
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Autor principal: Dagan, Shahar
Formato: Preprint
Publicado: 2025
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author Dagan, Shahar
author_facet Dagan, Shahar
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_17027
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Versal Family of Reductive Groups
Dagan, Shahar
Algebraic Geometry
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.
title Versal Family of Reductive Groups
topic Algebraic Geometry
url https://arxiv.org/abs/2501.17027