论文标题
手性代数的二元双重性
Quadratic Duality for Chiral Algebras
论文作者
论文摘要
我们介绍了手性代数的二次二元性概念。这可以看作是二次关联代数的通常二次二元性的手性版本。我们研究了这种双重性概念与手性代数的毛勒 - 卡丹方程之间的关系,这与联想代数案例平行。我们还提供了一些明确的例子。
We introduce a notion of quadratic duality for chiral algebras. This can be viewed as a chiral version of the usual quadratic duality for quadratic associative algebras. We study the relationship between this duality notion and the Maurer-Cartan equations for chiral algebras, which turns out to be parallel to the associative algebra case. We also present some explicit examples.