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This is a preliminary draft of Chapter 6 of our forthcoming textbook "Introduction to Cluster Algebras." Chapters 1-3 have been posted as arXiv:1608.05735.
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Cluster algebras. I. Foundations
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Lectures on invariant theory
Dolgachev, I · 2003
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Cluster algebras. II. Finite type classification
Fomin, S., and Zelevinsky, A · 2003
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Cluster algebras and Poisson geometry
Gekhtman, M., Shapiro, M., and Vainshtein, A · 2003
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Parametrizations of flag varieties
Marsh, R. J., and Rietsch, K. C · 2004
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Cluster algebras. III. Upper bounds and double Bruhat cells
Berenstein, A., Fomin, S., and Zelevinsky, A · 2005
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Linear algebraic groups
Murnaghan, F · 2005
Preprojective algebras and cluster algebras
Geiss, C., Leclerc, B., and Schröer, J · 2008
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Introduction to actions of algebraic groups
Brion, M · 2010
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Matrices
Serre, D · 2010
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Cluster-cyclic quivers with three vertices and the Markov equation
Beineke, A., Brüstle, T., and Hille, L · 2011
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Kac-Moody groups and cluster algebras
Geiß, C., Leclerc, B., and Schröer, J · 2011
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Cluster algebras in algebraic Lie theory
Geiss, C., Leclerc, B., and Schröer, J · 2013
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Factorial cluster algebras
Geiss, C., Leclerc, B., and Schröer, J · 2013
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Moduli spaces of local systems and higher Teichmüller theory
Fock, V., and Goncharov, A · 2006
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Grassmannians and cluster algebras
Scott, J. S · 2006
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Dual Teichmüller and lamination spaces
Fock, V. V., and Goncharov, A. B · 2007
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Cluster algebras. IV. Coefficients
Fomin, S., and Zelevinsky, A · 2007
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Lie groups. An approach through invariants and representations
Procesi, C · 2007
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Locally acyclic cluster algebras
Muller, G · 2013
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Webs on surfaces, rings of invariants, and clusters
Fomin, S., and Pylyavskyy, P · 2014
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Birational geometry of cluster algebras
Gross, M., Hacking, P., and Keel, S · 2015
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Tensor diagrams and cluster algebras
Fomin, S., and Pylyavskyy, P · 2016
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Monoidal categorification of cluster algebras
Kang, S.-J., Kashiwara, M., Kim, M., and Oh, S.-j · 2018
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Cluster algebras and classical invariant rings, Ph.D. thesis, University of Michigan, 2014, https://deepblue.lib.umich.edu/handle/2027.42/108931
Carde, K · 2027
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