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

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.

arXiv commentthis is the corrected version avoiding the mistake containing in the paper by V.Kac (from the reference list); 4 pages