TY - JOUR
T1 - The quiver of projectives in hereditary categories with Serre duality
AU - Berg, Carl Fredrik
AU - van Roosmalen, Adam Christiaan
PY - 2010/7
Y1 - 2010/7
N2 - Let k be an algebraically closed field and A a k-linear hereditary category satisfying Serre 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 repk Q for a so-called strongly locally finite quiver Q. To this end, we introduce light cone distances and round trip distances on quivers which will be used to investigate sections in stable translation quivers of the form Z Q.
AB - Let k be an algebraically closed field and A a k-linear hereditary category satisfying Serre 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 repk Q for a so-called strongly locally finite quiver Q. To this end, we introduce light cone distances and round trip distances on quivers which will be used to investigate sections in stable translation quivers of the form Z Q.
UR - http://www.scopus.com/inward/record.url?scp=74849106382&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2009.09.014
DO - 10.1016/j.jpaa.2009.09.014
M3 - Article
AN - SCOPUS:74849106382
SN - 0022-4049
VL - 214
SP - 1082
EP - 1094
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 7
ER -