A New Lie Algebra and Its Application
Zhao Jing
Abstract
Zhao Jing
Abstract
By extending the known Lie algebraA_(n-1), a new Lie algebra is obtained, whose corresponding loop algebra is devoted to working out a type of new integrable Hamiltonian hierarchy by making use of Tu scheme. Again a 5-dimensional loop algebra is constructed. By employing the definition of integrable couplings, an expanding integrable model of the hierarchy as above is engendered.
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By extending the known Lie algebraA_(n-1), a new Lie algebra is obtained, whose corresponding loop algebra is devoted to working out a type of new integrable Hamiltonian hierarchy by making use of Tu scheme. Again a 5-dimensional loop algebra is constructed. By employing the definition of integrable couplings, an expanding integrable model of the hierarchy as above is engendered.
Key concepts: Loop algebra, Lie conformal algebra, Graded Lie algebra, Algebra over a field, Integrable system, Mathematics, Lie algebra, Lie superalgebra