Geodesic
Cohomologies and Deformations of Pre-Lie-Morphism Triples
Journal of Lie theory, Tome 33 (2023) no. 2, pp. 547-566
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A (pre-)Lie-morphism triple consists of two (pre-)Lie algebras and a (pre-)Lie algebra homomorphism between them. We give cohomologies of pre-Lie-morphism triples and show that the cohomology of a pre-Lie-morphism triple can be deduced from a cohomology of the Lie-morphism triple. As applications of cohomologies of pre-Lie-morphism triples, we study linear deformations and formal deformations of pre-Lie-morphism triples.
Classification : 17B60, 20G10
Mots-clés : Pre-Lie morphism triple, cohomology, deformation 
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     author = {Y. Wang and S. Zhang and J. Liu},
     title = {Cohomologies and {Deformations} of {Pre-Lie-Morphism} {Triples}},
     journal = {Journal of Lie theory},
     pages = {547--566},
     year = {2023},
     volume = {33},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_2_JLT_2023_33_2_a4/}
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Y. Wang; S. Zhang; J. Liu. Cohomologies and Deformations of Pre-Lie-Morphism Triples. Journal of Lie theory, Tome 33 (2023) no. 2, pp. 547-566. http://geodesic.mathdoc.fr/item/JLT_2023_33_2_JLT_2023_33_2_a4/