The quiver of projectives in hereditary categories with Serre duality

作者:Berg Carl Fredrik; van Roosmalen Adam Christiaan*
来源:Journal of Pure and Applied Algebra, 2010, 214(7): 1082-1094.
DOI:10.1016/j.jpaa.2009.09.014

摘要

Let k be an algebraically closed field and A a k-linear hereditary category satisfying Serr duality with no infinite radicals between the preprojective objects. If A is generated by the preprojective objects, then we show that A is derived equivalent to rep(k)Q for a so-called strongly locally finite quiver Q. To this end, we introduce light cone distances and round tridistances on quivers which will be used to investigate sections in stable translation quiver of the form ZQ.

  • 出版日期2010-7