The Canonical Dimension of a Semisimple Group and the Unimodular Degree of a Root System

被引：0
|
作者：
Zainoulline, Kirill [1 ]
机构：
[1] Univ Ottawa, Dept Math & Stat, 150 Louis Pasteur, Ottawa, ON K1N 6N5, Canada
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1093/imrn/rnab323
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We produce a short and elementary algorithm to compute an upper bound for the canonical dimension of a spit semisimple linear algebraic group. Using this algorithm we confirm previously known bounds by Karpenko [6–9] and Devyatov [5] as well as we produce new bounds (e.g., for groups of types F4, adjoint E6, for some semisimple groups). © 2023 Oxford University Press. All rights reserved.
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页码：2834 / 2845
页数：12
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