The moment map for the variety of associative algebras

Hui Zhang, Zaili Yan

We consider the moment map $m:\mathbb{P}{V}_n\to \text{i}\mathfrak{u}(n)$ for the action of $\text{GL}(n)$ on $V_n={\otimes }^2({\mathbb{C}}^n{)}^{\ast }\otimes {\mathbb{C}}^n$, and…