Morphisms deformations and abelian extensions of differential Lie algebras

B. Agrebaoui, K. Basdouri, S. Benabdelhafidh, S. Silvestrov

The purpose of the present paper is to investigate cohomology of differential Lie algebra morphisms. First, we discuss representations of differential Lie algebra morphisms. Moreover, we construct cohomology of differential Lie algebra morphisms. As applications of our cohomology, we study formal deformations and abelian extensions of differential Lie algebra morphisms. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(3) (2025), pp. 121-137