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