Department of Computer Science
Two explicit realizations of a Lie algebra
We introduce a Lie algebra whose some properties are discussed, including its proper ideals, derivations and so on. Then, we again give rise to its two explicit realizations by adopting subalgebra of the Lie algebra A2 and a column-vector Lie algebra, respectively. Under the frame of zero curvature equations, we may use the realizations to generate the same Lax integrable hierarchies of evolution equations and their Hamiltonian structure. © 2008 Elsevier Ltd. All rights reserved.
Source Publication Title
Chaos, Solitons and Fractals
Zhang, Yufeng, and Honwah Tam. "Two explicit realizations of a Lie algebra." Chaos, Solitons and Fractals 41.5 (2009): 2241-2245.