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

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

2005-10-08

arxiv.org/abs/math/0510167v2

London Math. Bull. 39 (2007), 301-304

Mathematics

Algebraic Geometry

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

Scientific paper

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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