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Tilt-Critical Algebras of Tame Type |
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| Authors: | Flávio U Coelho Sonia Trepode |
| Institution: | 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. |
| Keywords: | Canonical algebras Tame algebras Tilt-critical algebras Tilted algebras Tubular algebras |