Hom-Algebras and Homology
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 409-421
Classes of G-Hom-associative algebras are constructed as deformations of G-associative algebras along algebra endomorphisms. As special cases, we obtain Hom-associative and Hom-Lie algebras as deformations of associative and Lie algebras, respectively, along algebra endomorphisms. Chevalley-Eilenberg type homology for Hom-Lie algebras are also constructed.
DOI:
10.5802/jolt.560
Classification:
17A30, 17B55, 17B68
Keywords: G-Hom-associative algebra, Hom-associative algebra, Hom-Lie algebra, Chevalley-Eilenberg homology
Keywords: G-Hom-associative algebra, Hom-associative algebra, Hom-Lie algebra, Chevalley-Eilenberg homology
@article{JOLT_2009_19_2_a13,
author = {D. Yau},
title = {Hom-Algebras and {Homology}},
journal = {Journal of Lie Theory},
pages = {409--421},
year = {2009},
volume = {19},
number = {2},
doi = {10.5802/jolt.560},
zbl = {1252.17002},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.560/}
}
D. Yau. Hom-Algebras and Homology. Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 409-421. doi: 10.5802/jolt.560
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