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A computer-based approach to the classification of nilpotent Lie algebras

Csaba Schneider

math.RAarXiv:math/0406365

Abstract

We adopt 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 at most~9 over 2 and those of dimension at most~7 over 3 and 5.

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