Associative rings and algebras Representations of algebras Concept
Bernstein–Gelfand–Ponomarev reflection functors
Summary
The reflection functors of Bernstein, Gelfand and Ponomarev pass between representations of quivers that differ by reversing all arrows at one sink or source. On dimension vectors they act by the simple reflections of the Weyl group of the quiver. They send each indecomposable representation, other than one simple representation, to an indecomposable one. They gave a short proof of Gabriel's theorem and were an early model of tilting theory.
Further reading
About this page
| Tag | MG4RNMA8AR |
|---|---|
| URI | m2://MG4RNMA8AR |
| Kind | concept |
| Writing | W0 stub |
| MSC | 16G20 |
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