Cohen, A. M., Steinbach, A., Ushirobira, R., and Wales, D. Lie algebras generated by extremal elements. preliminary version, December 1998.

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Constructing bases of finitely presented Lie algebras using .. - de Graaf, Wisliceny   (Correct)

....calculation shows that the running times are roughly proportional to n 5 . As a second set of examples we consider Lie algebras Ln over Q generated by a set X of size n subject to the relations [x; x; m] 0 for x 2 X and m 2 Ln . Such a Lie algebra is called a (free) sandwich algebra (see [4], 16] This is an example of a Lie algebra given by generators subject to a number of Lie polynomials containing indeterminates. 1 The calculations were performed on a PentiumII 266. dimension running time D9 153 62 D11 231 175 D13 325 429 D15 435 845 D17 561 1631 Table 1: Running times ....

Cohen, A. M., Steinbach, A., Ushirobira, R., and Wales, D. Lie algebras generated by extremal elements. preliminary version, December 1998.

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