CLUSTER CATEGORIES

DMCA

CLUSTER CATEGORIES (2010)

Cached

Download Links

[arxiv.org]

by Idun Reiten

Citations:

10 - 0 self

Citations

641	Representation theory of Artin algebras - Auslander, Reiten, et al. - 1995
352	Tame algebras and integral quadratic forms - Ringel - 1984
347	Elements of the Representation Theory of Associative Algebras - Assem, Simson, et al. - 2006
237	Cluster algebras I - Fomin, Zelevinsky
190	Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories, Nucl - Seiberg - 1995
189	Moduli spaces of local systems and higher Teichmüller theory - Fock, Goncharov
182	On triangulated orbit categories, - Keller - 2005
176	Quivers with potentials and their representations - Derksen, Weyman, et al.
174	Unzerlegbare Darstellungen - Gabriel - 1972
171	From triangulated categories to cluster algebras - Caldero, Keller
157	Tilting in abelian categories and quasi tilted algebras - Happel, Reiten, et al. - 1996
150	Calabi-Yau algebras - Ginzburg
144	Cluster algebras. III. Upper bounds and double Bruhat cells - Berenstein, Fomin, et al.
142	Cluster-tilted algebras are Gorenstein and stably - Keller, Reiten - 2007
140	Representations of finite-dimensional algebras - Gabriel, Rŏıter - 1992
138	Tilted algebras - Happel
135	Cluster algebras as Hall algebras of quiver representations - Caldero, Chapoton
118	Cluster categories for algebras of global dimension 2 and quivers with potential, Ann. Inst. Fourier 59 - Amiot - 2009
118	Mutation in triangulated categories and rigid Cohen-Macaulay modules - Iyama, Yoshino
115	Cohen-Macaulay modules on hypersurface singularities - Knörrer - 1987
111	Tilting theory and cluster combinatorics, Adv - Buan, Marsh, et al.
105	Cluster structures for 2-Calabi-Yau categories and unipotent groups - Buan, Iyama, et al.
101	Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors. Representation theory - Brenner, Butler - 1979
84	Derived equivalences from mutations of quivers with potential - Keller, Yang
77	Toric duality is Seiberg duality - Beasley, Plesser
71	Cluster algebras and quantum affine algebras - Hernandez, Leclerc
71	Generalized associahedra via quiver representations - Marsh, Reineke, et al.
67	Applications of morphisms determined by objects. In: Representation Theory of Algebras - Auslander - 1978
64	Cluster-tilted algebras as trivial extensions - Assem, Brüstle, et al.
64	Coxeter functors without diagrams - Auslander, Platzeck, et al. - 1979
60	Cluster algebras and triangulated surfaces. Part I: Cluster complexes - Fomin, Shapiro, et al. - 2006
60	Grassmannians and cluster algebras, - Scott - 2006
56	On cluster algebras with coefficients and 2-Calabi-Yau categories - Fu, Keller
54	Mutation of cluster-tilting objects and potentials - Buan, Iyama, et al.
54	Cluster characters for 2-Calabi-Yau triangulated categories, - Palu - 2008
49	algebras via cluster categories with infinitedimensional morphism spaces - Plamondon, Cluster - 2011
48	Quivers with relations and cluster tilted algebras - Caldero, Chapoton, et al. - 2004
46	Cluster tilted algebras of finite representation type - Buan, Marsh, et al.
46	Cluster structures and semicanonical bases for unipotent groups - Geiss, Leclere, et al.
44	Skew-symmetric cluster algebras of finite mutation type - Felikson, Shapiro, et al.
40	Donaldson-Thomas theory and cluster algebras - Nagao
39	On the quiver Grassmannian in the acyclic case - Caldero, Reineke
38	Clusters and seeds in acyclic cluster algebras - Buan, Marsh, et al.
37	Cluster tilting for one-dimensional hypersurface singularities, - Burban, Iyama, et al. - 2008
36	A geometric model for cluster categories of typeDn - Schiffler
36	Defining an m-cluster category, - Thomas - 2007
34	A geometric description of m-cluster categories - Baur, Marsh - 2006
34	Quantum cluster variables via Serre polynomials - Qin
33	Representation theory of artin algebras III: Almost split sequences - Auslander, Reiten - 1975
31	Acyclic cluster algebras via Ringel-Hall algebras, Preprint available at the author’s home - Hubery
28	Almost complete tilting modules - Happel
25	Cluster characters for cluster categories with infinite-dimensional morphism spaces - Plamondon
25	Generalized cluster complexes via quiver representations, preprint - Zhu - 2006
23	Stability structures, Donaldson–Thomas invariants and cluster transformations - Kontsevich, Soibelman
20	Generalized cluster complexes and Coxeter - Fomin, Reading - 2005
18	Stable categories of Cohen-Macaulay modules and cluster categories. arXiv:1104.3658 - Amiot, Iyama, et al.
16	Total positivity and cluster algebras - Fomin
16	Cluster combinatorics of d-cluster categories, - Zhou, Zhu - 2009
15	From tilted to cluster-tilted algebras of Dynkin type, preprint arXiv math.RT/0510445 - Buan, Reiten
15	triangulated categories to cluster algebras - From
15	with potentials and their representations II: applications to cluster algebras - Quivers
14	Coloured quiver mutation for higher cluster categories - Buan, Thomas
14	algebras IV - Cluster
13	modules over preprojective algebras - Rigid
12	The ubiquity of generalized cluster categories, - Amiot, Reiten, et al. - 2011
12	Cluster-tilting theory - Buan, Marsh
12	On the combinatorics of rigid objects - Dehy, Keller - 2008
11	Quiver varieties and cluster algebras, arXiv:0905.0002v3 [math.QA - Nakajima
11	Tilting theory and cluster algebras, preprint available at www.institut.math.jussieu.fr/ ˜ keller/ictp2006/lecturenotes/reiten.pdf - Reiten
11	Hypersurface singularities of finite Cohen-Macaulay type - Solberg - 1989
10	algebras and Weil-Petersson forms - Cluster
10	Equivalences between cluster categories - Zhu - 2006
9	On open orbits and their complements - Riedtmann, Schofield - 1990
8	with relations arising from clusters (An case - Quivers
8	algebras II: Finite type classification - Cluster - 2003
8	On the properties of the exchange graph of a cluster algebra - Gekhtman, Shapiro, et al.
7	mutation via quiver representations - Cluster
7	Triangulated Categories in the Representation of Finite Dimensional Algebras - Happel - 1988
7	Cluster algebras and representation theory - Leclerc - 2010
7	Rigid objects in higher cluster categories - Wraalsen
6	Teichmüller and lamination spaces, Handbook of Teichmüller theory. Vol - Dual - 2007
6	and generalized associahedra - Y-systems
5	flag varieties and preprojective algebras, Ann - Partial
4	bases and preprojective algebras. II. A multiplication formula - Semicanonical
4	triangles in derived categories of finite-dimensional algebras - Auslander-Reiten - 1991
4	Gorenstein isolated quotient singularities of odd prime dimension are cyclic - Kurano, Nishi
3	Preprojective algebras and c-sortable words, arXiv:1002.4131 - Amiot, Iyama, et al.
3	Higher Auslander-Reiten Theory on maximal orthogonal subcategories - Iyama
3	2-Auslander algebras associated with reduced words in Coxeter groups - Iyama, Reiten
2	The cluster category of a canonical algebra, Trans.Amer.Math.Soc - Barot, Kussin, et al. - 2010
2	Seven A., Tame concealed algebras and minimal infinite cluster algebras - Buan, Reiten
2	Schur modules over wild, finite dimensional path algebras with three simple modules - Unger - 1990
1	of cluster variables - Denominators
1	den Bergh, Explicit modules for some stable categories of maximal Cohen-Macaulay modules, in preparation - Völcsey, Van
1	ensembles, quantization and the dilogarithm, Ann - Cluster
1	algebras and Poisson geometry, Mosc - Cluster
1	quiver representations and triangulated categories, arXiv08.07.1960 - Cluster-algebras - 2006
1	triangulated categories - Calabi-Yau
1	amassées et applications - Algèbres