论文标题
弱关联和对称的莱布尼兹代数
Weakly associative and symmetric Leibniz algebras
论文作者
论文摘要
我们研究一类弱关联代数:对称的莱布尼兹代数。我们描述了与极化 - 偏振原理相关的交换和偏斜的对称代数的结构。我们还为对称莱布尼兹代数提供了一个结构定理,并在变形量化的背景下研究了形式变形。
We study a special class of weakly associative algebras: the symmetric Leibniz algebras. We describe the structure of the commutative and skew symmetric algebras associated with the polarization-depolarization principle. We also give a structure theorem for the symmetric Leibniz algebras and we study formal deformations in the context of deformation quantization.