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2008•Modern Physics Letters BRequires access

SOME EXPANDING SEMI-DIRECT SUMS OF LIE ALGEBRA $\bar{G}$ AND ITS APPLICATION

Hui Chang, S. T. Chang, Yu Zhang

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Abstract

Based on the fundamental special Lie algebra [Formula: see text], some semi-direct sums are presented. Then, a new semi-direct sum Lie algebra [Formula: see text] is constructed. The method presented in this paper can be used to obtain other higher-dimensional Lie algebra. Making use of the above Lie algebra, three integrable couplings of the new Bargmann type lattice hierarchy are obtained.

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What this paper is about

Based on the fundamental special Lie algebra [Formula: see text], some semi-direct sums are presented. Then, a new semi-direct sum Lie algebra [Formula: see text] is constructed. The method presented in this paper can be used to obtain other higher-dimensional Lie algebra. Making use of the above Lie algebra, three integrable couplings of the new Bargmann type lattice hierarchy are obtained.

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Available abstract

Based on the fundamental special Lie algebra [Formula: see text], some semi-direct sums are presented. Then, a new semi-direct sum Lie algebra [Formula: see text] is constructed. The method presented in this paper can be used to obtain other higher-dimensional Lie algebra. Making use of the above Lie algebra, three integrable couplings of the new Bargmann type lattice hierarchy are obtained.

Key concepts: Lie conformal algebra, Graded Lie algebra, Lie superalgebra, Affine Lie algebra, Algebra over a field, Lie algebra, Mathematics, Current algebra

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