The canonical dimension of a semisimple group and the unimodular degree of a root system

2021/08/17 by Zainoulline, Kirill
#14C25 #14L17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.07835

Abstract

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 and Devyatov as well as we produce new bounds (e.g. for groups of types F₄, adjoint E₆, for some semisimple groups).

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