论文标题

部分可观测时空混沌系统的无模型预测

On Lie algebras of generalized Jacobi matrices

论文作者

Fialowski, Alice, Iohara, Kenji

论文摘要

在此诱饵中,我们考虑了通用雅各比矩阵的无限尺寸谎言代数,$ \ mathfrak {g} j(k)$和$ \ mathfrak {gl} _ \ infty(k)$,它们在索尼顿理论以及它们的正交和符号的subalgebras中很重要。 In particular, we construct the homology ring of the Lie algebra $\mathfrak{g}J(k)$ and of the orthogonal and symplectic subalgebras.

In this lecutre note, we consider infinite dimensional Lie algebras of generalized Jacobi matrices $\mathfrak{g}J(k)$ and $\mathfrak{gl}_\infty(k)$, which are important in soliton theory, and their orthogonal and symplectic subalgebras. In particular, we construct the homology ring of the Lie algebra $\mathfrak{g}J(k)$ and of the orthogonal and symplectic subalgebras.

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