Structure of Lie n-Algebras
Structure of Lie n-Algebras
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发表时间：
2007
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通讯作者：
U. Schreiber
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作者：
U. Schreiber
李代数的高阶推广等价地被认为是李n-代数、L∞-代数或对偶地被认为是拟自由微分分次交换代数。本文讨论了Lie n-代数的态射和高阶态射，内导子Lie（n+1）-代数的构造，以及对于每个超越Lie（n+1）-上圈，Lie（2n +1）-代数的短正合列的存在性.
Higher order generalizations of Lie algebras have equivalently been conceived as Lie n-algebras, as L∞-algebras, or, dually, as quasi-free differential graded commutative algebras. Here we discuss morphisms and higher morphisms of Lie n-algebras, the construction of inner derivation Lie (n+1)-algebras, and the existence of short exact sequences of Lie (2n + 1)-algebras for every transgressive Lie (n+ 1)-cocycle.