Geodesic
Cohomologies and Deformations of Pre-Lie-Morphism Triples
Yibo Wang1 ; Shilong Zhang2 ; Jiefeng Liu1
1School of Mathematics and Statistics, Northeast Normal University, Changchun, China
2College of Science, Northwest A & F University, Yangling, Shaanxi, China
Journal of Lie Theory, Tome 33 (2023) no. 2, pp. 547-566

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Yibo Wang  1   ; Shilong Zhang  2   ; Jiefeng Liu  1

1 School of Mathematics and Statistics, Northeast Normal University, Changchun, China
2 College of Science, Northwest A & F University, Yangling, Shaanxi, China 
Yibo Wang; Shilong Zhang; Jiefeng 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/JOLT_2023_33_2_a4/
@article{JOLT_2023_33_2_a4,
     author = {Yibo Wang and Shilong Zhang and Jiefeng 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/JOLT_2023_33_2_a4/}
}
TY  - JOUR
AU  - Yibo Wang
AU  - Shilong Zhang
AU  - Jiefeng Liu
TI  - Cohomologies and Deformations of Pre-Lie-Morphism Triples
JO  - Journal of Lie Theory
PY  - 2023
SP  - 547
EP  - 566
VL  - 33
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JOLT_2023_33_2_a4/
ID  - JOLT_2023_33_2_a4
ER  - 
%0 Journal Article
%A Yibo Wang
%A Shilong Zhang
%A Jiefeng Liu
%T Cohomologies and Deformations of Pre-Lie-Morphism Triples
%J Journal of Lie Theory
%D 2023
%P 547-566
%V 33
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2023_33_2_a4/
%F JOLT_2023_33_2_a4