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7-dimensional nilpotent Lie algebras. (English) Zbl 0770.17003

All 7-dimensional complex nilpotent Lie algebras are determined. The algebras are listed in tables, categorized by the dimensions of the terms in the upper central series. In each such category, the algebras are listed as decomposable or indecomposable and for those algebras in the latter, distinguishing features are provided. Six of the tables represent infinite families of algebras parameterized by a single complex variable.

MSC:

17B30 Solvable, nilpotent (super)algebras
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