{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","description":"This cluster of papers explores the interplay between cluster algebras and triangulated categories, with a focus on derived categories, quiver representations, and homological dimensions. It also delves into topics such as quantum groups, Calabi-Yau algebras, modular tensor categories, and their connections to conformal field theory and Kac-Moody algebras.","keywords":[{"id":"https://openalex.org/keywords/quantum-groups","display_name":"quantum groups","score":0.5099},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"conformal field theory","score":0.232},{"id":"https://openalex.org/keywords/simple-modules","display_name":"simple modules","score":0.4838},{"id":"https://openalex.org/keywords/derived-categories","display_name":"derived categories","score":0.4786},{"id":"https://openalex.org/keywords/triangulated-categories","display_name":"triangulated categories","score":0.7131},{"id":"https://openalex.org/keywords/representations-of-algebras","display_name":"representation theory of algebras","score":0.714},{"id":"https://openalex.org/keywords/finite-dimensional-algebras","display_name":"finite-dimensional algebras","score":0.5308},{"id":"https://openalex.org/keywords/affine-lie-algebras","display_name":"affine Lie algebras","score":0.7242},{"id":"https://openalex.org/keywords/quantum-affine-algebras","display_name":"quantum affine algebras","score":0.9111},{"id":"https://openalex.org/keywords/category-of-modules","display_name":"module categories","score":0.6354},{"id":"https://openalex.org/keywords/vertex-operator-algebras","display_name":"vertex operator algebras","score":0.7417},{"id":"https://openalex.org/keywords/cluster-algebras","display_name":"cluster algebras","score":0.5932},{"id":"https://openalex.org/keywords/abelian-categories","display_name":"abelian categories","score":0.6168},{"id":"https://openalex.org/keywords/kac-moody-algebras","display_name":"Kac-Moody algebras","score":0.534},{"id":"https://openalex.org/keywords/categorification","display_name":"categorification","score":0.5237},{"id":"https://openalex.org/keywords/virasoro-algebra","display_name":"Virasoro algebra","score":0.3785},{"id":"https://openalex.org/keywords/quiver-representations","display_name":"quiver representations","score":0.7164},{"id":"https://openalex.org/keywords/yang-baxter-equation","display_name":"Yang-Baxter equation","score":0.3695},{"id":"https://openalex.org/keywords/wzw-models","display_name":"Wess-Zumino-Witten model","score":0.416},{"id":"https://openalex.org/keywords/indecomposable-modules","display_name":"indecomposable modules","score":0.5204},{"id":"https://openalex.org/keywords/highest-weight-modules","display_name":"highest weight modules","score":0.6504},{"id":"https://openalex.org/keywords/homological-algebra","display_name":"homological algebra","score":0.2499},{"id":"https://openalex.org/keywords/r-matrix","display_name":"R-matrix","score":0.2768},{"id":"https://openalex.org/keywords/hecke-algebras","display_name":"Hecke algebras","score":0.2924},{"id":"https://openalex.org/keywords/affine-kac-moody-algebras","display_name":"affine Kac-Moody algebras","score":0.6904}],"legacy_keywords":"Cluster Algebras; Triangulated Categories; Derived Categories; Quiver Representations; Homological Dimensions; Quantum Groups; Calabi-Yau Algebras; Modular Tensor Categories; Conformal Field Theory; Kac-Moody Algebras","ids":{"openalex":"https://openalex.org/T10287","wikipedia":"https://en.wikipedia.org/wiki/Cluster_algebra"},"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory"},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology"},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory"},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications"},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis"},{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory"},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds"},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems"},{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry"},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications"}],"works_count":66129,"cited_by_count":808436,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T10287","updated_date":"2026-10-22T03:01:35","created_date":"2024-01-23T15:27:05"}