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- W2951336757 abstract "Abstract Given a symmetric non-degenerate bilinear form b on a vector space g , G. Pinczon and R. Ushirobira have defined a bracket { , } on the space of multilinear skewsymmetric forms on g . With this bracket, the quadratic Lie algebra structure equation on ( g , b ) becomes simply { Ω , Ω } = 0 . Following the same program, we characterize the quadratic hom-right symmetric structures on ( g , b ) by the same equation { Ω , Ω } = 0 , on the space of ‘bi-symmetric’ forms. This characterization extends to quadratic hom-right symmetric algebras up to homotopy and allows us to describe the corresponding cohomology." @default.
- W2951336757 created "2019-06-27" @default.
- W2951336757 creator A5052861238 @default.
- W2951336757 date "2019-10-01" @default.
- W2951336757 modified "2023-09-27" @default.
- W2951336757 title "Quadratic hom-right symmetric algebras" @default.
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- W2951336757 doi "https://doi.org/10.1016/j.geomphys.2019.06.012" @default.
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