Showing math.RAShow all
2 papers · 1 filter
math.RA2025
Uniqueness of addition in Lie algebras revisited
Ivan Arzhantsev
We obtain new and improve old results on uniqueness of addition in Lie rings and Lie algebras. A Lie ring is called a unique addition ring, or a UA-Lie ring, if any…
math.RA2025
On finite-dimensional homogeneous Lie algebras of derivations of polynomial rings
Ivan Arzhantsev, Sergey Gaifullin, Viktor Lopatkin
For a finite set of homogeneous locally nilpotent derivations of the algebra of polynomials in several variables, a finite dimensionality criterion for the Lie algebra generated by…