Mathematics – Rings and Algebras
Scientific paper
2011-07-15
Mathematics
Rings and Algebras
18 pages. In the second version the exposition has been improved, and various typos and minor errors have been corrected
Scientific paper
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.
Abrams Gene
Mesyan Zachary
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