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math.RA2026
Invariants of Nilpotent Lie Algebras via Geometry and Algebra with a Focus on Computation
Csaba Schneider, Igor Martins Silva
We consider the problem of computing rational invariants of nilpotent Lie algebras. We compare two methods that are commonly used for this task: the method of integral curves and t…
math.RA2019
The isomorphism problem for universal enveloping algebras of four-dimensional solvable Lie algebras
José L. Vilca Rodríguez, Csaba Schneider, Hamid Usefi
This paper is a contribution to the isomorphism problem for universal enveloping algebras of finite-dimensional Lie algebras. We focus on solvable Lie algebras of small dimensions…
math.RA2018
Non-singular derivations of solvable Lie algebras in prime characteristic
Marcos Goulart Lima, Csaba Schneider
We study solvable Lie algebras in prime characteristic that admit non-singular derivations. We show that Jacobson's Theorem remains true if the quotients of the derived series…