1. Department of Mathematics-IME , University of S?o Paulo , S?o Paulo, Brazil;2. Department of Mathematics, FCEyN , National University of Mar del Plata , Mar del Plata, Argentina
Abstract:
Let A be a finite dimensional k-algebra over an algebraically closed field. Assume A = kQ/I where Q is a quiver without oriented cycles. We say that A is tilt-critical if it is not tilted but every proper convex subcategory of A is tilted. We describe the tilt-critical algebras which are strongly simply connected and tame.