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# BGP-reflection functors and cluster combinatorics ∗

@inproceedings{Zhu2004BGPreflectionFA, title={BGP-reflection functors and cluster combinatorics ∗}, author={Bin Zhu}, year={2004} }

- Published 2004

We define Bernstein-Gelfand-Ponomarev reflection functors in the cluster categories of hereditary algebras. They are triangle equivalences which provide a natural quiver realization of the " truncated simple reflections " on the set of almost positive roots Φ ≥−1 associated to a finite dimensional semisimple Lie algebra. Combining with the tilting theory in cluster categories developed in [4], we give a unified interpretation via quiver representations for the generalized associahedra… CONTINUE READING