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. 72, N 2, 2017. 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.