43 citations · 330 across the 44 of their papers we have counts for
6 papers · 1 filter
Lie automorphisms of incidence algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo
Let be a finite connected poset and a field. We give a full description of the Lie automorphisms of the incidence algebra . In particular, we show that they are in…
The algebraic classification of nilpotent algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give the complete algebraic classification of all complex 4-dimensional nilpotent algebras. The final list has 234 (parametric families of) isomorphism classes of algebras, 66 o…
Poisson Structures on Finitary Incidence Algebras
Ivan Kaygorodov, Mykola Khrypchenko
We give a full description of the Poisson structures on the finitary incidence algebra of an arbitrary poset over a commutative unital ring .
The geometric classification of nilpotent -algebras
Ivan Kaygorodov, Mykola Khrypchenko
We give a geometric classification of complex -dimensional nilpotent -algebras. The corresponding geometric variety has dimension 18 and decomposes into irred…
The algebraic classification of nilpotent -algebras
Ivan Kaygorodov, Mykola Khrypchenko
We give an algebraic classification of complex -dimensional nilpotent -algebras.
The algebraic and geometric classification of nilpotent anticommutative algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give algebraic and geometric classifications of -dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are one-par…