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arXiv · 2108.07835

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

Kirill Zainoulline
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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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Kirill Zainoulline. 2021-08-17. The canonical dimension of a semisimple group and the unimodular degree of a root system. https://arxiv.org/abs/2108.07835

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