2021
DOI: 10.48550/arxiv.2108.07835
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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 F 4 , adjoint E 6 , for some semisimple groups).

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