Title




Qurves and quivers
 
Author




 
Abstract




In this paper we associate to a qurve A (formerly known as a quasifree or formally smooth algebra) the onequiver Q(A) and dimension vector a(A). This pair contains enough information to reconstruct for all natural numbers n the GL(n)etale local structure of the representation scheme rep(n,A). In an appendix we indicate how one might extend this to qurves over nonalgebraically closed fields. Further, we classify all finitely generated groups G such that the group algebra lG is an lqurve. If char(l)=0 these are exactly the virtually free groups. We determine the onequiver setting in this case and indicate how it can be used to study the finite dimensional representations of virtually free groups. As this approach also applies to fundamental algbras of graphs of separable lalgebras, we state the results in this more general setting. 
 
Language




English
 
Source (journal)




eprintarchive math.RA
 
Publication




2004
 
Volume/pages




(2004)
, p. 0507494,10507494,22
 
