Hom-Lie algebroids and hom-left-symmetric algebroids
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DOI: 10.1016/j.geomphys.2017.01.029
Abstract: Abstract We give a notion of hom-left-symmetric algebroids, which are a generalization of hom-left symmetric algebras. We construct several examples of hom-Lie algebroids and hom-left-symmetric algebroids. Representations of hom-Lie algebroids and hom-left-symmetric algebroids are given.… read more here.
Keywords: symmetric algebroids; hom lie; left symmetric; algebroids hom ... See more keywords
LEFT SYMMETRIC POINTS FOR BIRKHOFF ORTHOGONALITY IN THE PREDUALS OF VON NEUMANN ALGEBRAS
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DOI: 10.1017/s0004972718000849
Abstract: In this paper, we give a complete description of left symmetric points for Birkhoff orthogonality in the preduals of von Neumann algebras. As a consequence, except for $\mathbb{C}$ , $\ell _{\infty }^{2}$ and $M_{2}(\mathbb{C})$ ,… read more here.
Keywords: neumann algebras; points birkhoff; birkhoff orthogonality; symmetric points ... See more keywords
On parakähler Hom-Lie algebras and Hom-left-symmetric bialgebras
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DOI: 10.1080/00927872.2016.1175453
Abstract: ABSTRACT In this paper, the parakähler Hom-Lie algebras or phase space of Hom-Lie algebras in terms of Hom-left-symmetric algebras are studied. A structure theory of parakähler Hom-Lie algebras in terms of matched pairs of Hom-Lie… read more here.
Keywords: hom; lie algebras; hom lie; left symmetric ... See more keywords