The Derivation and Automorphism group of trigonometric sine algebra

Abstract

我们考虑的李代数${\mathbf{A}}_{h}$为由$\{\mathbf{A}(\mathbf{m})|\mathbf{m}\in\Gamma\}$张成的向量空间，$\Gamma=\mathbb{Z}^{2},$ $${\mathbf{A}}_{h}=\bigoplus_{\mathbf{m}\in\Gamma}\mathbb{C}\mathbf{A}(\mathbf{m})$$ 且${\mathbf{A}}_{h}$上的李运算定义为 [\mathbf{A}(\mathbf{m}),\mathbf{A}(\mathbf{n})]=g(\mathbf{m},\mathbf{n},h...let $\Gamma=\mathbb{Z}\mathbf{e}_{1}+\mathbb{Z}\mathbf{e}_{2}$, and $\Gamma^{*}=\Gamma\backslash\{0\}$. For $\mathbf{m}=(m_{1},m_{2})$ and $\mathbf{n}=(n_{1},n_{2})\in\Gamma$, let $\mathbb{R}$ is a real field, we consider the Lie algebra {\mathbf{A}}_{h}=\bigoplus_{\mathbf{m}\in\Gamma}\mathbb{C}\mathbf{A}(\mathbf{m})$$with bracket$$[\mathbf{A}(\mathbf{m}),\mathbf{A}(\mathbf{n})]...学位：理学硕士院系专业：数学科学学院_基础数学学号：1902011115252