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- W4288347816 abstract "Concepts of first order differential calculus (FODC) on a monoidal Hom-algebra and left-covariant FODC over a left Hom-quantum space with respect to a monoidal Hom-Hopf algebra are presented. Then, extension of the universal FODC over a monoidal Hom-algebra to a universal Hom-differential calculus is described. Next, concepts of left(right)-covariant and bicovariant FODC over a monoidal Hom-Hopf algebra are studied in detail. Subsequently, notion of quantum Hom-tangent space associated to a bicovariant Hom-FODC is introduced and equipped with an analogue of Lie bracket (commutator) through Woronowicz' braiding. Finally, it is proven that this commutator satisfies quantum versions of the antisymmetry relation and Hom-Jacobi identity." @default.
- W4288347816 created "2022-07-29" @default.
- W4288347816 creator A5087811483 @default.
- W4288347816 date "2019-05-25" @default.
- W4288347816 modified "2023-09-26" @default.
- W4288347816 title "Covariant Differential Calculus Over Monoidal Hom-Hopf Algebras" @default.
- W4288347816 doi "https://doi.org/10.48550/arxiv.1905.10639" @default.
- W4288347816 hasPublicationYear "2019" @default.
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