Laurent多项式代数C[x1±1,x2±1]上的李三系

李昭, 曾波, 曹佑安

数学学报 ›› 2012, Vol. 55 ›› Issue (5) : 811-816.

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PDF(425 KB)
数学学报 ›› 2012, Vol. 55 ›› Issue (5) : 811-816. DOI: 10.12386/A2012sxxb0078
论文

Laurent多项式代数C[x1±1,x2±1]上的李三系

    李昭, 曾波, 曹佑安
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Lie Triple Systems Associated with the Laurent Polynomial Algebra C[x1±1,x2±1]

    Zhao LI, Bo ZENG, You An CAO
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摘要

A为交换变元x1, x2的罗朗多项式代数, 记A的导子代数Der, AM.本文确定了A, M的对合自同构.利用M的对合自同构给出了一类无限维单李三系, 并且通过讨论M的自同构与对合自同构的关系, 确定这些单李三系的自同构.

Abstract

Let A be the Laurent polynomial algebra in commutative variables x1,x2. Denote the derivation algebra Der A of A by M.In this paper,we determine the involution automorphisms of A,M.We use the involution automorphisms of M to construct some infinitely Diffensional simple Lie triple systems.The automorphisms of these simple Lie triple systems are also determined by discussing the relationships between the automorphisms and the involution automorphisms of M.

关键词

罗朗多项式代数 / 李三系 / 自同构

Key words

Laurent polynomial algebra / Lie triple system / automorphism

引用本文

导出引用
李昭, 曾波, 曹佑安. Laurent多项式代数C[x1±1,x2±1]上的李三系. 数学学报, 2012, 55(5): 811-816 https://doi.org/10.12386/A2012sxxb0078
Zhao LI, Bo ZENG, You An CAO. Lie Triple Systems Associated with the Laurent Polynomial Algebra C[x1±1,x2±1]. Acta Mathematica Sinica, Chinese Series, 2012, 55(5): 811-816 https://doi.org/10.12386/A2012sxxb0078

参考文献

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基金

国家自然科学基金资助项目(11171202);湖南省教育厅一般资助项目(10C1260)
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