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

Submission: 2005, Sep 22

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 simple algebraic groups.

2000 Mathematics Subject Classification:

Keywords and Phrases: canonical dimension, polynomial invariant, algebraic group

Full text: dvi.gz 7 k, dvi 16 k, ps.gz 497 k, pdf.gz 52 k, pdf 65 k.

Server Home Page