2 papers
math.RA2025
Biderivations of complete Leibniz algebras
Alfonso Di Bartolo, Francesco Paolo Di Fatta, Gianmarco La Rosa
If one wishes to define a complete Leibniz algebra in such a way as to extend the notion of a complete Lie algebra, two distinct definitions can be found in the current literature.…
math.RA2025
A Lie Bracket on the Space of (Right) Biderivations of a Lie Algebra
Alfonso Di Bartolo, Gianmarco La Rosa
Derivations extend the concept of differentiation from functions to algebraic structures as linear operators satisfying the Leibniz rule. In Lie algebras, derivations form a Lie al…