1 citations · 2 across the 8 of their papers we have counts for
9 papers
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…
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…
Jordan-Kronecker invariants of Lie algebra representations: examples and computations
Ivan Kozlov
In these paper we compute Jordan-Kronecker invariants of Lie algebra representations, introduced earlier by A.V. Bolsinov, A.M. Izosimov and I.K. Kozlov, for a number of representa…
Classification of saddle-focus singularities
I. K. Kozlov, A. A. Oshemkov
The paper presents an algorithm for topological classification of nondegenerate saddle-focus singularities of integrable Hamiltonian systems with three degrees of freedom up to sem…
Integrable systems with linear periodic integral for the Lie algebra
I. K. Kozlov, A. A. Oshemkov
Integrable systems with a linear periodic integral for the Lie algebra are considered. One investigates singulariries of the Liouville foliation, bifurcation diagra…
The topology of Liouville foliation for the Kovalevskaya integrable case on the Lie algebra so(4)
Ivan Kozlov
In this paper we study topological properties of an integrable case for Euler's equations on the Lie algebra , which can be regarded as an analogue of the classical…
Classification of Lagrangian fibrations
Ivan Kozlov
This paper classifies Lagrangian fibrations over surfaces with compact total spaces up to fiberwise symplectomorphism identical on the base.
Liouville classification of integrable geodesic flows on a projective plane in a potential field
E. I. Antonov, I. K. Kozlov
A Liouville classification of a natural Hamiltonian system on the projective plane with a rotation metric and a linear integral is obtained. All Fomenko--Zieschang invariants (i.e.…
Integral affine 3-manifolds
Ivan Kozlov
Affine manifolds are called integral if there is an atlas such that all transition maps are affine transformations with integer matrices of linear parts. In this paper we describe…