4 citations · 11 across the 9 of their papers we have counts for
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math.RA2018
Ado theorem for nilpotent Hom-Lie algebras
Abdenacer Makhlouf, Pasha Zusmanovich
We prove an analog of the Ado theorem - the existence of a finite-dimensional faithful representation - for a certain kind of finite-dimensional nilpotent Hom-Lie algebras.
math.RA2018
Commutative post-Lie algebra structures on Kac--Moody algebras
Dietrich Burde, Pasha Zusmanovich
We determine commutative post-Lie algebra structures on some infinite-dimensional Lie algebras. We show that all commutative post-Lie algebra structures on loop algebras are trivia…
math.RA2018
Hom-Lie structures on Kac-Moody algebras
Abdenacer Makhlouf, Pasha Zusmanovich
We describe Hom-Lie structures on affine Kac-Moody and related Lie algebras, and discuss the question when they form a Jordan algebra.