On a family of operators and their Lie algebras
On a family of operators and their Lie algebras
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关于算子族及其李代数
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Jing Ping Wang
中科院分区：
文献类型：
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作者：
J. Sanders;Jing Ping Wang
构造了一类微分算子的无穷族。这些算子中的每一个都定义了一个李括号，并且该算子是从新李代数到标准李代数的同态。这些算子的一个有趣的特点是，它们分解成一阶算子的整数系数。这推广了Zhiber和Sokolov最近的结果。
An infinite family of differential operators is constructed. Each of these operators defines a Lie bracket and the operator is a homomorphism from the new Lie algebra to the standard Lie algebra. An interesting feature of these operators is that they factorize into first order operators with integer coefficients. This generalizes recent results of Zhiber and Sokolov.