Morphisms deformations and abelian extensions of differential Lie algebras

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.

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Publication Details

Journal
Advanced Studies Euro-Tbilisi Mathematical Journal
Published
2025-10-01
DOI
https://doi.org/10.32513/asetmj/193220082518308
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Morphisms deformations and abelian extensions of differential Lie algebras

Khaled Basdouri, S. Silvestrov, Boujemaâ Agrebaoui, Sami Benabdelhafidh
Advanced Studies Euro-Tbilisi Mathematical Journal
Advanced Topics in Algebra
article

Morphisms deformations and abelian extensions of differential Lie algebras

Khaled Basdouri, S. Silvestrov, Boujemaâ Agrebaoui, Sami Benabdelhafidh
article en

Abstract

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 JournalVol. 18(3)
Openalex Percentile: Top 65%
Advanced Topics in Algebra
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Morphisms deformations and abelian extensions of differential Lie algebras — Khaled Basdouri, S. Silvestrov, et al. · Advanced Studies Euro-Tbilisi Mathematical Journal (2025) | TGRS Research Map | TGRS