A note on noncommutative Poisson structures

Details A note on noncommutative Poisson structures A note on noncommutative Poisson structures

2005-06-14

arxiv.org/abs/math/0506268v1

Mathematics

Quantum Algebra

6 pages

Scientific paper

We introduce a new type of noncommutative Poisson structure on associative
algebras. It induces Poisson structures on the moduli spaces classifying
semisimple modules. Path algebras of doubled quivers and preprojective algebras
have noncommutative Poisson structures given by the necklace Lie algebra.

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