Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
复制标题
李代数和与有限对称群的 Sylow p 子群相关的李代数的花环积
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
V. Sushchansky
中科院分区：
文献类型：
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作者：
V. Sushchansky
. We define a wreath product of a Lie algebra L with the one-dimensional Lie algebra L 1 over F p and determine some properties of this wreath product. We prove that the Lie algebra associated with the Sylow p-subgroup of finite symmetric group S p m is isomorphic to the wreath product of m copies of L 1 . As a corollary we describe the Lie algebra associated with Sylow p-subgroup of any symmetric group in terms of wreath product of one-dimensional Lie algebras.
