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On split regular Hom-Lie color algebras | | Yan Cao
; Liangyun Chen
; | | Date: |
10 Aug 2015 | | Abstract: | We introduce the class of split regular Hom-Lie color algebras as the natural
generalization of split Lie color algebras. By developing techniques of
connections of roots for this kind of algebras, we show that such a split
regular Hom-Lie color algebra $L$ is of the form $L = U + sumlimits_{[j] in
Lambda/sim}I_{[j]}$ with $U$ a subspace of the abelian graded subalgebra $H$
and any $I_{[j]}$, a well described ideal of $L$, satisfying $[I_{[j]},
I_{[k]}] = 0$ if $[j]
eq [k]$. Under certain conditions, in the case of $L$
being of maximal length, the simplicity of the algebra is characterized. | | Source: | arXiv, 1508.2124 | | Services: | Forum | Review | PDF | Favorites | |
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