Abelian Category

The construction of Ringel-Hall algebras via abelian category was firstly introduced by Ringel and was applied to representation category of Dynkin quiver in order to realize positive parts of semisimple Lie algebras .

由abelian范畴构造的Ringel-Hall代数是由Ringel首先引入的，并应用于Dynkinquiver的表示范畴，Ringel使用Hall代数方法实现了半单李代数的正部分。