A note on the fundamental group of a triangular algebra

作者：Xu Fan^*

来源：Algebra Colloquium, 2008, 15(3): 371-378.

• fundamental group
• presentation
• triangular algebra

Let A be a finite dimensional basic connected algebra over a field k of characteristic zero. We generalize the result of [5], and show that if the quiver of A has no oriented cycles, then the fundamental group of any presentation of A by quiver and relations (as defined in [61) is the quotient of the fundamental group of a privileged presentation of A. In a more general case, we cite and analyze the example given in [3].

• 出版日期2008-9
• 单位清华大学