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2005 A computer-based approach to the classification of nilpotent Lie algebras
Csaba Schneider
Experiment. Math. 14(2): 153-160 (2005).

Abstract

We adapt the $p$-group generation algorithm to classify small-dimensional nilpotent Lie algebras over small fields. Using an implementation of this algorithm, we list the nilpotent Lie algebras of dimension up to 9 over $\F_2$ and those of dimension up to 7 over $\F_3$ and $\F_5$.

Citation

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Csaba Schneider. "A computer-based approach to the classification of nilpotent Lie algebras." Experiment. Math. 14 (2) 153 - 160, 2005.

Information

Published: 2005
First available in Project Euclid: 30 September 2005

zbMATH: 1093.17004
MathSciNet: MR2169519

Subjects:
Primary: 17-08, 17B05, 17B30

Rights: Copyright © 2005 A K Peters, Ltd.

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