4 citations · 6 across the 2 of their papers we have counts for
4 papers
Color Hom-Lie algebras, color Hom-Leibniz algebras and color omni-Hom-Lie algebras
Abdoreza Armakan, Sergei Silvestrov
Representations of color Hom-Lie algebras are reviewed, and it is shown that there exist a series of coboundary operators. We also introduce the notion of a color omni-Hom-Lie alge…
Non-degenerate Killing forms on Hom-Lie superalgebras
Abdoreza Armakan, Mohammad Reza Farhangdoost, Sergei Silvestrov
In this paper we investigate some important basic properties of simple Hom-Lie superalgebras and show that a Hom-Lie superalgebra does not have any left or right nontrivial ideals.…
Cartan's theorem for some topological generalized groups
A. R. Armakan, M. R. Farhangdoost, F. Gorlizkhatami +1
In this paper we show that topological subgroupoids of Lie groupoids, under special circumstances are Lie subgroupoids. Giving an example, we indicate that having the same topologi…
Extensions of hom-Lie color algebras
A. R. Armakan, S. Silvestrov, M. R. Farhangdoost
In this paper we study (non-Abelian) extensions of a given hom-Lie color algebra and provide a geometrical interpretation of extensions. In particular, we characterize an extension…