3 papers
math.RT2024
A note on Jordan-Kronecker invariants of semi-direct sums of sl(n) with a commutative ideal
I. K. Kozlov
K. S. Vorushilov described Jordan-Kronecker invariants for semi-direct sums if or if is a multiple of . We de…
math.RT2023
Shifts of semi-invariants and complete commutative subalgebras in polynomial Poisson algebras
I. K. Kozlov
We study commutative subalgebras in the symmetric algebra of a finite-dimensional Lie algebra . A. M. Izosimov introduced extended Mischenko-Fomenko…
math.DG2023
Realization of Jordan-Kronecker invariants by Lie algebras
I. K. Kozlov
We study what Jordan-Kronecker invariants of Lie algebras, introduced by A. V. Bolsinov and P. Zhang, are possible. We completely solve this problem in the Jordan and the Kronecker…