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MAGMA Computational Algebra System

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Algebras -- Non-Associative

Computational Methods

17-04

[1] Serena Cicalò and Willem A. de Graaf. Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition: II. J. Symbolic Comput., To appear, 15 pages, 2009.
[2] W. A. de Graaf. Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras. J. Pure Appl. Algebra, 139(1–3):25–39, 1999.
[3] Willem A. de Graaf. Deciding isomorphism of Lie algebras. In Proceedings of the Sixth Rhine Workshop on Computer Algebra, Sankt Augustin, March 31 - April 3, 1998, page 9. 1998.
[4] Willem A. de Graaf. Lie Algebras: Theory and Algorithms, volume 56 of North-Holland Mathematical Library. North-Holland Publishing Co., Amsterdam, 2000.
[5] Lothar Gerritzen. Tree polynomials and non-associative Gröbner bases. J. Symbolic Comput., 41(3-4):297–316, 2006.
[6] Roberto La Scala and Viktor Levandovskyy. Letterplace ideals and non-commutative Gröbner bases. J. Symbolic Comp., 44(10):1374–1393, 2009.

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