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Kronecker Indices of Lie Algebras and Invariants Degrees Estimate / Vorontsov A.S. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 1. P. 26-30 [Moscow Univ. Math. Bulletin. Vol. 66, No 1, 2011. P. 25-29]. 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.
Key words: Lie algebra, coadjoint representation, invariants, bi-Hamiltonian
geometry.
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