Braces and Poisson additivity
Braces and Poisson additivity
复制标题
大括号和泊松可加性
作者：
P. Safronov
我们将Calaque和Willwacher引入的支撑结构与加性函子联系起来。也就是说，我们从与算子${mathcal{O}}$相关的支撑代数到同伦${mathcal{O}}$-代数范畴中的结合代数构造一个函子。作为例子，我们将$mathbb{P}_{n+1}$-代数范畴与$mathbb{P}_{n}$-代数范畴中的结合代数范畴联系起来。在此基础上，我们还证明了文献中关于导出余各向同性结构的两种定义是等价的。
We relate the brace construction introduced by Calaque and Willwacher to an additivity functor. That is, we construct a functor from brace algebras associated to an operad ${mathcal{O}}$ to associative algebras in the category of homotopy ${mathcal{O}}$ -algebras. As an example, we identify the category of $mathbb{P}_{n+1}$ -algebras with the category of associative algebras in $mathbb{P}_{n}$ -algebras. We also show that under this identification there is an equivalence of two definitions of derived coisotropic structures in the literature.