Projective Dimensions and Extensions of Modules from Titled to Cluster-Tilted Algebras

[1]  R. Schiffler,et al.  Induced and Coinduced Modules in Cluster-Tilted Algebras , 2014, 1410.1732.

[2]  G. Todorov,et al.  Projective Dimension of Modules over Cluster-Tilted Algebras , 2011, 1111.2013.

[3]  Pierre-Guy Plamondon Cluster algebras via cluster categories with infinite-dimensional morphism spaces , 2010, Compositio Mathematica.

[4]  Steffen Oppermann,et al.  Constructing tilted algebras from cluster-tilted algebras , 2009, 0902.1667.

[5]  R. Schiffler,et al.  Cluster-tilted algebras without clusters , 2009, 0912.0298.

[6]  M. Barot,et al.  From iterated tilted algebras to cluster-tilted algebras , 2008, 0811.1328.

[7]  Claire Amiot Cluster categories for algebras of global dimension 2 and quivers with potential , 2008, 0805.1035.

[8]  R. Schiffler,et al.  On the Galois coverings of a cluster-tilted algebra , 2007, 0709.0850.

[9]  D. Simson,et al.  Elements of the Representation Theory of Associative Algebras , 2007 .

[10]  R. Schiffler,et al.  Cluster-tilted algebras and slices , 2007, 0707.0038.

[11]  R. Schiffler,et al.  Cluster‐tilted algebras as trivial extensions , 2006, math/0601537.

[12]  I. Reiten,et al.  Cluster-tilted algebras are Gorenstein and stably Calabi–Yau , 2005, math/0512471.

[13]  Robert J. Marsh,et al.  Cluster-tilted algebras of finite representation type , 2005, math/0509198.

[14]  B. Keller On triangulated orbit categories , 2005, Documenta Mathematica.

[15]  R. Garibaldi Unramified cohomology of classifying varieties for exceptional simply connected groups , 2003, math/0304270.

[16]  I. Reiten,et al.  CLUSTER MUTATION VIA QUIVER REPRESENTATIONS , 2004, math/0412077.

[17]  R. Schiffler,et al.  Quivers with Relations and Cluster Tilted Algebras , 2004, math/0411238.

[18]  I. Reiten,et al.  Cluster-tilted algebras , 2004, math/0402075.

[19]  I. Reiten,et al.  Tilting theory and cluster combinatorics , 2004, math/0402054.

[20]  R. Schiffler,et al.  Quivers with relations arising from clusters $(A_n$ case) , 2004, math/0401316.

[21]  D. Zacharia,et al.  On split-by-nilpotent extensions , 2003 .

[22]  S. Fomin,et al.  Cluster algebras I: Foundations , 2001, math/0104151.

[23]  D. Zacharia,et al.  Full embeddings of almost split sequences over split-by-nilpotent extensions , 1999 .

[24]  I. Assem,et al.  Tilting modules over split-by-nilpotent extensions , 1998 .

[25]  Dieter Happel,et al.  Triangulated categories in the representation theory of finite dimensional algebras , 1988 .