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Canonical p-dimensions of algebraic groups and degrees of basic polynomial invariants

Kirill Zainoulline
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Abstract

In the present notes we provide a new uniform way to compute a canonical p-dimension of a split algebraic group G for a torsion prime p using degrees of basic polynomial invariants described by V.Kac. As an application, we compute the canonical p-dimensions for all split exceptional algebraic groups.

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Kirill Zainoulline. 2005-11-28. Canonical p-dimensions of algebraic groups and degrees of basic polynomial invariants. https://arxiv.org/abs/math/0510167

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