Journal of Lie Theory

no. 4
Representations of Hom-Right Symmetric Algebras
Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1089-1105
We study representations of hom-right symmetric algebras, especially the trivial representation and the right and left adjoint representations are studied in detail. We are interested in the understanding of these notions in the setting of the 'operadic' presentation for a multiplicative hom-right symmetric algebra. Derivations, deformations, central extensions of hom-right symmetric algebras are also studied as an application.
DOI: 10.5802/jolt.984
Classification: 17A30, 17A20, 17A01, 17B56, 55N20
Keywords: Hom-algebras, up to homotopy algebras, cohomology 
@article{JOLT_2017_27_4_a10,
     author = {R. Chatbouri},
     title = {Representations of {Hom-Right} {Symmetric} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {1089--1105},
     year = {2017},
     volume = {27},
     number = {4},
     doi = {10.5802/jolt.984},
     zbl = {1430.17002},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.984/}
}
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R. Chatbouri. Representations of Hom-Right Symmetric Algebras. Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1089-1105. doi: 10.5802/jolt.984

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