| [1] |
Y. Barnea and D. S. Passman.
Filtrations in semisimple Lie algebras. II.
Trans. Amer. Math. Soc., 360(2):801–817 (electronic), 2008. |
| [2] |
Laurent Bartholdi, Benjamin Enriquez, Pavel Etingof, and Eric Rains.
Groups and Lie algebras corresponding to the Yang-Baxter
equations.
J. Algebra, 305(2):742–764, 2006. |
| [3] |
Dietrich Burde, Bettina Eick, and Willem de Graaf.
Computing faithful representations for nilpotent lie algebras.
J. Algebra, 322(3):602–612, 2009. |
| [4] |
A. Caranti, S. Mattarei, and M. F. Newman.
Graded Lie algebras of maximal class.
Trans. Amer. Math. Soc., 349(10):4021–4051, 1997. |
| [5] |
A. Caranti and M. F. Newman.
Graded Lie algebras of maximal class. II.
J. Algebra, 229(2):750–784, 2000. |
| [6] |
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. |
| [7] |
Arjeh M. Cohen and Dan Roozemond.
Computing Chevalley bases in small characteristics.
J. Algebra, 322(3):703–721, 2009. |
| [8] |
Jennifer R. Daniel and Aloysius G. Helminck.
Algorithms for computations in local symmetric spaces.
Comm. Algebra, 36(5):1758–1788, 2008. |
| [9] |
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. |
| [10] |
Willem A. de Graaf.
Classification of solvable Lie algebras.
Experiment. Math., 14(1):15–25, 2005. |
| [11] |
Willem A. de Graaf.
Classification of 6-dimensional nilpotent Lie algebras over fields
of characteristic not 2.
J. Algebra, 309(2):640–653, 2007. |
| [12] |
Pavel Etingof, John Kim, and Xiaoguang Ma.
On universal Lie nilpotent associative algebras.
Journal of Algebra, 321(2):697 – 703, 2009. |
| [13] |
Claus Fieker and Willem A. de Graaf.
Finding integral linear dependencies of algebraic numbers and
algebraic Lie algebras.
LMS J. Comput. Math., 10:271–287 (electronic), 2007. |
| [14] |
Conrad Kobel.
On the Classification of Solvable Lie Algebras of Finite
Dimension Containing an Abelian Ideal of Codimension One.
Master's thesis, Halmstad University, 2008. |
| [15] |
L. G. Kovács and Ralph Stöhr.
Lie powers of the natural module for GL(2).
J. Algebra, 229(2):435–462, 2000. |
| [16] |
G.I. Lehrer and R.B. Zhang.
A Temperley-Lieb analogue for the BMW algebra.
arXiv:0806.0687v1 [math.RT], 31 pages, 2008. |
| [17] |
Sandro Mattarei and Marina Avitabile.
Diamonds of finite type in thin Lie algebras.
arXiv:math.RA/0511256, 19 pages, 2005. |
| [18] |
M. F. Newman and Michael Vaughan-Lee.
Engel-4 groups of exponent 5. II. Orders.
Proc. London Math. Soc. (3), 79(2):283–317, 1999. |
| [19] |
University of Georgia VIGRE Algebra Group.
On Kostant's theorem for Lie algebra cohomology.
In Lin, Zongzhu (ed.) et al., Representation Theory. Fourth
International Conference on Representation Theory, Lhasa, China, July 16–20,
2007., volume 478 of Contemporary Mathematics, pages 39–60. American
Mathematical Society (AMS), Providence, RI, 2009. |
| [20] |
Roman O. Popovych, Vyacheslav M. Boyko, Maryna O. Nesterenko, and Maxim W.
Lutfullin.
Realizations of real low-dimensional Lie algebras.
J. Phys. A, 36:7337–7360, 2003. |
| [21] |
S. M. Salamon.
Complex structures on nilpotent Lie algebras.
J. Pure Appl. Algebra, 157(2-3):311–333, 2001. |
| [22] |
H. Strade.
Lie algebras of small dimension.
In Lie algebras, vertex operator algebras and their
applications, volume 442 of Contemp. Math., pages 233–265. Amer.
Math. Soc., Providence, RI, 2007. |
| [23] |
Michael Vaughan-Lee.
Simple Lie algebras of low dimension over GF(2).
LMS J. Comput. Math., 9:174–192 (electronic), 2006. |
| [24] |
Geordie Williamson.
Intersection cohomology complexes on low rank flag varieties.
arXiv:0709.0207v1 [math.RT], 17 pages, 2007. |
| [25] |
Eliana Zoque.
A counterexample to the existence of a Poisson structure on a
twisted group algebra.
arXiv:math/0608099, 4 pages, 2006. |
