JOURNAL ARTICLE
Lifting to Cluster-Tilting Objects in 2-Calabi–Yau Triangulated Categories
Year: 2009 Journal: Communications in Algebra Vol: 37 (7)Pages: 2410-2418 Publisher: Taylor & Francis
Abstract
We show that a tilting module over the endomorphism algebra of a cluster-tilting object in a 2-Calabi–Yau triangulated category lifts to a cluster-tilting object in this 2-Calabi–Yau triangulated category. This generalizes a recent work of Smith for cluster categories.
Keywords:
Calabi–Yau manifold Endomorphism Mathematics Triangulated category Object (grammar) Derived category Cluster (spacecraft) Pure mathematics Algebra over a field Combinatorics Computer science Functor Artificial intelligence Programming language
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19
Cited By
2.80
FWCI (Field Weighted Citation Impact)
25
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0.90
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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
Nonlinear Waves and Solitons
Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics
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