Symplectic Forms on Six-dimensional Real Solvable Lie Algebras I

Symplectic Forms on Six-dimensional Real Solvable Lie Algebras I
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六维实数可解李代数的辛形式 I

DOI:
10.1142/s100538670900025x
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发表时间:
2005
期刊:
影响因子:
0.3
通讯作者:
R. Campoamor
R. Campoamor
中科院分区:
数学4区
文献类型:
--
作者:
R. Campoamor

文献摘要

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我们分析了六维真实的可解和非幂零李代数的辛形式。更确切地说,我们得到所有这些代数赋予辛形式,分解为两个理想的直和或不可分解的可解代数与四维零根。
We analyze symplectic forms on six-dimensional real solvable and non-nilpotent Lie algebras. More precisely, we obtain all those algebras endowed with a symplectic form that decompose as the direct sum of two ideals or are indecomposable solvable algebras with a four-dimensional nilradical.