Two explicit realizations of a Lie algebra

Yufeng Zhang; Honwah Tam

doi:10.1016/j.chaos.2008.08.030

Two explicit realizations of a Lie algebra

Yufeng Zhang^*, Honwah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2241-2245
Number of pages	5
Journal	Chaos, Solitons and Fractals
Volume	41
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2008.08.030
Publication status	Published - 15 Sept 2009

Scopus Subject Areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2008.08.030

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title = "Two explicit realizations of a Lie algebra",

abstract = "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.",

author = "Yufeng Zhang and Honwah Tam",

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AU - Tam, Honwah

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N2 - 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.

AB - 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.

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DO - 10.1016/j.chaos.2008.08.030

M3 - Journal article

AN - SCOPUS:67649359928

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VL - 41

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EP - 2245

JO - Chaos, Solitons and Fractals

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Two explicit realizations of a Lie algebra

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