关于Hall多项式存在性的一个注记

A Note on the Existence of Hall Polynomials

设A是有限域F_q上的有限维代数.著名的Ringel猜测:所有表示有限型的代数A均存在Hall多项式.本文给出了Ringel猜测的一个等价刻画.

Let A be a finite dimensional algebra over a finite field Fq. There is a well-known conjecture, called Ringel＇s conjecture, which says that any algebra A of finite representation-type has Hall polynomials. In this paper, we give an equivalent characterization of Ringel＇s conjecture.