BOOK
Calabi–Yau triangulated categories
Abstract
We review the definition of a Calabi-Yau triangulated category and survey examples coming from the representation theory of quivers and finite-dimensional algebras. Our main motivation comes from the links between quiver representations and Fomin-Zelevinsky’s cluster algebras. Mathematics Subject Classification (2000). Primary 18E30; Secondary 16D90, 18G10.
Keywords:
Quiver Calabi–Yau manifold Subject (documents) Representation (politics) Mathematics Representation theory Pure mathematics Triangulated category Algebra over a field Derived category Computer science Functor Political science
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60
Cited By
30.34
FWCI (Field Weighted Citation Impact)
36
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1.00
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Citation History
Topics
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Advanced Algebra and Geometry
Physical Sciences → Mathematics → Mathematical Physics
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