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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

$ 7$-dimensional nilpotent Lie algebras


Author: Craig Seeley
Journal: Trans. Amer. Math. Soc. 335 (1993), 479-496
MSC: Primary 17B30
DOI: https://doi.org/10.1090/S0002-9947-1993-1068933-4
MathSciNet review: 1068933
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Abstract: All $ 7$-dimensional nilpotent Lie algebras over $ \mathbb{C}$ are determined by elementary methods. A multiplication table is given for each isomorphism class. Distinguishing features are given, proving that the algebras are pairwise nonisomorphic. Moduli are given for the infinite families which are indexed by the value of a complex parameter.


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DOI: https://doi.org/10.1090/S0002-9947-1993-1068933-4
Keywords: Nilpotent Lie algebra
Article copyright: © Copyright 1993 American Mathematical Society