Kronecker indices of Lie algebras and invariants degrees estimate

The concept of Kronecker indices of a Lie algebra as integer characteristics naturally connected to its structure tensor is introduced. A lower bound for the degrees of polynomial invariants of the co-adjoint action in terms of Kronecker indices is proved.

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Bibliographic Details
Published in:Moscow University mathematics bulletin 2011-02, Vol.66 (1), p.25-29
Main Author: Vorontsov, A. S.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
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Summary:The concept of Kronecker indices of a Lie algebra as integer characteristics naturally connected to its structure tensor is introduced. A lower bound for the degrees of polynomial invariants of the co-adjoint action in terms of Kronecker indices is proved.
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132211010050