论文标题
在Leclerc的猜想集群结构上，Richardson品种
On Leclerc's conjectural cluster structures for open Richardson varieties
论文作者
论文摘要
2016年，Leclerc使用前主角代数的表示，在开放的Richardson品种上构建了猜想的群集结构。梅纳德（Ménard）在他的论文中获得了具有更明确种子的变体。我们表明，Ménard的种子确实在开放的Richardson品种上产生 *上 *群集代数结构，并讨论仍然存在的问题，以证明它们是群集代数结构。
In 2016, Leclerc constructed conjectural cluster structures on open Richardson varieties using representations of preprojective algebras. A variant with more explicit seeds was obtained by Ménard in his thesis. We show that Ménard's seeds do yield *upper* cluster algebra structures on open Richardson varieties and discuss the problems that remain in order to prove that they are cluster algebra structures.
