有界复形的 Modi ed Ringel Hall 代数的结构常数

Structure constants of the modi ed Ringel Hall algebras over bounded complexes

摘要:

设k是有限域.A是k上的满足一定有限性条件的本质小的遗传阿贝尔范畴.本文研究了有界复形范畴的modified Ringel—Hall 代数MH(A)中零微分复形乘积的结构常数，给出了它们与A的Ringel-Hall 代数H(A)的Hall数之间的关系.

Abstract:

Let k be a finite fi eld and A be an essentially small hereditary Abelian category over k satisfying some fi niteness conditions.This paper considers the structure constants of the products of complexes with zero di fferentials in MH(A) and show that it is related to the Hall number of the Ringel-Hall algebras H(A).