English

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

Algebraic Geometry 2008-03-07 v2 Group Theory

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.

Keywords

Cite

@article{arxiv.math/0510167,
  title  = {Canonical p-dimensions of algebraic groups and degrees of basic polynomial invariants},
  author = {Kirill Zainoulline},
  journal= {arXiv preprint arXiv:math/0510167},
  year   = {2008}
}

Comments

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