References
- [1] L. Andrianopoli, R. D'Auria, S. Ferrara, P. Frè, M. Trigiante, R-R scalars, U-duality and solvable Lie algebras. Nucl. Phys. B 496 617-629 (1997).
- [2] J.C. Benjumea, F.J. Echarte, J. Núñez and A.F. Tenorio, An Obstruction to Represent Abelian Lie Algebras by Unipotent Matrices. Extracta Math. 19 269- 277 (2004).
- [3] J.C. Benjumea, J. Núñez and A.F. Tenorio, The Maximal Abelian Dimension of Linear Algebras formed by Strictly Upper Triangular Matrices, Theor. Math. Phys. 152 1225-1233 (2007).
- [4] D. Burde and M. Ceballos, Abelian ideals of maximal dimension for solvable Lie algebras. J. Lie Theory 22 741-756 (2012).
- [5] R. Campoamor-Stursberg, Number of missing label operators and upper bounds for dimensions of maximal Lie subalgebras. Acta Phys. Polon. B 37 2745-2760 (2006).
- [6] C. Caranti, S. Mattarei and F. Newman, Graded Lie algebras of maximal class. Trans. Amer. Math. Soc. 349 4021-4051 (1997).
- [7] M. Ceballos, J. Núñez and A.F. Tenorio, The computation of abelian subalgebras in the Lie algebra of upper-triangular matrices. An. St. Univ. Ovidius Constanta 16 59-66 (2008).
- [8] M. Ceballos, J. Núñez and A.F. Tenorio, Algorithic method to obtain abelian subalgebras and ideals in Lie algebras. Int. J. Comput. Math. 89 1388-1411 (2012).
- [9] P. Frè, Solvable Lie algebras, BPS black holes and supergravity gaugings. Fortschr. Phys. 47 173-181 (1999).
- [10] N. Jacobson, Schur's Theorem on commutative matrices. Bull. Amer. Math. Soc. 50 431-436 (1944).
- [11] I. Schur, Zur Theorie vertauschbarer Matrizen. J. Reine. Angew. Mathematik 130 66-76 (1905).
- [12] A.F. Tenorio, Solvable Lie algebras and maximal abelian dimensions. Acta Math. Univ. Comenian. (N.S.) 77 141-145 (2008).
- [13] J.-L. Thiffeault and P.J. Morrison, Classi_cation and Casimir invariants of Lie- Poisson brackets. Phys. D 136 205-244 (2000).
- [14] V.S. Varadarajan, Lie Groups, Lie Algebras and Their Representations, Springer, New York (1984).