论文标题
Dynkin类型$ a _ {\ infty} $的离散集群类别的Grothendieck组
The Grothendieck Groups of Discrete Cluster Categories of Dynkin Type $A_{\infty}$
论文作者
论文摘要
在这项工作中，我们计算了Holm-Jorgensen介绍的Dynkin Type $ a _ {\ infty} $的每个离散集群类别的家族的三角凝胶组。随后，我们还根据Paquette-yildirim的意义计算了这些离散集群类别的完成的Grothendieck组。
In this work we compute the triangulated Grothendieck groups for each of the family of discrete cluster categories of Dynkin type $A_{\infty}$ as introduced by Holm-Jorgensen. Subsequently, we also compute the Grothendieck group of a completion of these discrete cluster categories in the sense of Paquette-Yildirim.
