Topic · Geometry and Topology
Algebraic structures and combinatorial models
Algebraic structures and combinatorial models is a research topic within Geometry and Topology. Science Explorer counts 42k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.
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.
- Cluster Algebras
- Triangulated Categories
- Derived Categories
- Quiver Representations
- Homological Dimensions
- Quantum Groups
- Calabi-Yau Algebras
- Modular Tensor Categories
- Conformal Field Theory
- Kac-Moody Algebras
- Research works
- 42k fractional, since 1950
- In the world top 10%
- 4.2k per year above
- Top-10% rate
- 10.0% share of its works in the world top 10%
- Growth, 2018-21 → 2022-25
- +10% the tick is no change
- Largest producer
China
27% of the 10 largest, 2022-now
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