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Physical Sciences → Mathematics → Geometry and Topology

Algebraic structures and combinatorial models

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.

101.3K works worldwide989.7K citations
Cluster AlgebrasTriangulated CategoriesDerived CategoriesQuiver RepresentationsHomological DimensionsQuantum GroupsCalabi-Yau AlgebrasModular Tensor CategoriesConformal Field TheoryKac-Moody Algebras

Journals publishing in this area

Articles on Scinovex in this research area

8 articles, most cited first

  1. Ring theory and pure rings and their structural applications in abstract algebra: A homological perspective
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  2. Deriving derived category equivalences for tilting objects with applications to Papua New Guinea landslide risk
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  3. Constructing algebraic d-module theory on smooth affine varieties with applications to great plains tornado occurrence
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  4. Deriving cluster tilting theory in representation-finite algebras with applications to irrawaddy delta land subsidence
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  5. Decomposing quantum group deformations of universal enveloping algebras with applications to Korean peninsula precipitation trends
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  6. Classifying tensor product decompositions in representation theory with applications to pacific northwest salmon migration
    International Journal of Statistics and Applied Mathematics · 2024 · 0 citations
  7. Purity relative to a cyclic module
    International Journal of Statistics and Applied Mathematics · 2020 · 0 citations · AI summary
  8. New modular relations involving cubes of the Göllnitz–Gordon functions
    International Journal of Statistics and Applied Mathematics · 2017 · 0 citations