12 citations · 48 across the 26 of their papers we have counts for
4 papers · 1 filter
Planar networks and simple Lie groups beyond type A
Anton Izosimov
The general linear group , along with its adjoint simple group , can be described by means of weighted planar networks. In this paper we give a network description f…
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 .…
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…
The derived algebra of a stabilizer, families of coadjoint orbits, and sheets
Anton Izosimov
Let be a finite-dimensional real or complex Lie algebra, and let . In the first part of the paper, the relation is discussed between the deriv…