Structure of low dimensional \(n\)-Lie algebras over a field of characteristic 2. (English) Zbl 1205.17007
Summary: We classify \(n + 1\) dimensional \(n\)-Lie algebras over a field \(F\) of characteristic 2 and prove that there are no simple \(n + 2\) dimensional \(n\)-Lie algebras.
MSC:
| 17A42 | Other \(n\)-ary compositions \((n \ge 3)\) |
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