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
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