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Homological Methods, Representation Theory, and Cluster Algebras pp 101–125Cite as

Cluster Characters

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Abstract

Shortly after the introduction of cluster algebras in (S. Fomin and A. Zelevinsky (2002). J. Amer. Math. Soc. 15(2), 497–529.) [19], links with an impressively vast number of fields of mathematics were uncovered. Among these is the representation theory of finite-dimensional algebras, whose links to cluster algebras became apparent in, for instance, (R. Marsh, M. Reineke and A. Zelevinsky (2003). Trans. Amer. Math. Soc. 355(10), 4171–4186.) [39], (A.B Buan, R. Marsh, M. Reineke, I. Reiten and G. Todorov (2006). Adv. Math. 204(2), 572–618.) [8], (P. Caldero and F. Chapoton (2006). Comment. Math. Helv. 81(3), 595–616.) [10].

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Acknowledgements

The author was partially supported by the French ANR grant SC3A (ANR-15-CE40-0004-01).

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  1. Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, 91405, Orsay, France

    Pierre-Guy Plamondon

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  1. Pierre-Guy Plamondon
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Correspondence to Pierre-Guy Plamondon .

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Editors and Affiliations

  1. Département de Mathématiques, Université de Sherbrooke, Sherbrooke, Québec, Canada

    Ibrahim Assem

  2. Centro Marplatense de Investigaciones Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Mar del Plata, Buenos Aires, Argentina

    Sonia Trepode

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Plamondon, PG. (2018). Cluster Characters. In: Assem, I., Trepode, S. (eds) Homological Methods, Representation Theory, and Cluster Algebras. CRM Short Courses. Springer, Cham. https://doi.org/10.1007/978-3-319-74585-5_4

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