Simple Lie algebras arising from Leavitt path algebras
arXiv:1107.3114 · doi:10.1016/j.jpaa.2012.03.003
Abstract
For a field K and directed graph E, we analyze those elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E), L_K(E)]. This analysis allows us to give easily computable necessary and sufficient conditions to determine which Lie algebras of the form [L_K(E), L_K(E)] are simple, when E is row-finite (i.e., has finite out-degree) and L_K(E) is simple.
18 pages. In the second version the exposition has been improved, and various typos and minor errors have been corrected
References in corpus (1)
Cited by in corpus (6)
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