Categorification of a frieze pattern determinant

Assem, 2010, Friezes, Adv. Math., 225, 3134, 10.1016/j.aim.2010.05.019 Baur, 2008, A geometric description of m-cluster categories, Trans. Amer. Math. Soc., 360, 5789, 10.1090/S0002-9947-08-04441-3 Baur, 2009, Frieze patterns for punctured discs, J. Algebraic Combin., 30, 349, 10.1007/s10801-008-0161-0 Bergeron, 2010, SLk-tilings of the plane, Illinois J. Math., 54, 263, 10.1215/ijm/1299679749 Bongartz, 1984, Critical simply connected algebras, Manuscripta Math., 46, 117, 10.1007/BF01185198 Broline, 1974, The geometry of frieze patterns, Geom. Dedicata, 3, 171, 10.1007/BF00183208 Buan, 2006, Tilting theory and cluster combinatorics, Adv. Math., 204, 572, 10.1016/j.aim.2005.06.003 Caldero, 2006, Cluster algebras as Hall algebras of quiver representations, Comment. Math. Helv., 81, 595, 10.4171/CMH/65 Caldero, 2006, Quivers with relations arising from clusters (An case), Trans. Amer. Math. Soc., 358, 1347, 10.1090/S0002-9947-05-03753-0 Coxeter, 1971, Frieze patterns, Acta Arith., XVIII, 297, 10.4064/aa-18-1-297-310 Conway, 1973, Triangulated polygons and frieze patterns, Math. Gaz., 57, 87, 10.1017/S0025557200132000 Conway, 1973, Triangulated polygons and frieze patterns, Math. Gaz., 57, 175, 10.2307/3615561 Fomin, 2002, Cluster algebras. I: Foundations, J. Amer. Math. Soc., 15, 497, 10.1090/S0894-0347-01-00385-X Fomin, 2003, Cluster algebras. II: Finite type classification, Invent. Math., 154, 63, 10.1007/s00222-003-0302-y Fomin, 2003, Y-systems and generalized associahedra, Ann. Math., 158, 977, 10.4007/annals.2003.158.977 Guo Happel, 1985, Tilting sets on cylinders, Proc. Lond. Math. Soc. (3), 51, 21, 10.1112/plms/s3-51.1.21 Happel, 1988, Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras, vol. 119 Keller, 2005, On triangulated orbit categories, Doc. Math., 10, 551, 10.4171/dm/199 Keller, 2011, Linear recurrence relations for cluster variables of affine quivers, Adv. Math., 228, 1842, 10.1016/j.aim.2011.06.036 S. Morier-Genoud, Arithmetics of 2-friezes, preprint arXiv:1109.0917v2 [math.CO], 2011; J. Algebraic Combin., in press. S. Morier-Genoud, V. Ovsienko, S. Tabachnikov, 2-Frieze patterns and the cluster structure of the space of polygons, preprint arXiv:1008.3359v5 [math.AG], 2010; Ann. Inst. Fourier (Grenoble), in press. Peng, 1997, Root categories and simple Lie algebras, J. Algebra, 198, 19, 10.1006/jabr.1997.7152 Propp N.J.A. Sloane (Ed.), The On-Line Encyclopedia of Integer Sequences, published electronically, at www.research.att.com/~njas/sequences/, 2008.