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math.RT2014★ 4 cited
Generalized argument shift method and complete commutative subalgebras in polynomial Poisson algebras
Anton Izosimov
The Mischenko-Fomenko argument shift method allows to construct commutative subalgebras in the symmetric algebra of a finite-dimensional Lie algebra .…
math.RT2014
Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials
Alexey Bolsinov, Anton Izosimov, Ivan Kozlov
For an arbitrary representation of a complex finite-dimensional Lie algebra, we construct a collection of numbers that we call the Jordan-Kronecker invariants of . Among oth…