Double Poisson algebras

Details Double Poisson algebras Double Poisson algebras

2004-10-25

arxiv.org/abs/math/0410528v4

Mathematics

Quantum Algebra

Many misprints and inaccuracies (found by the referee) were corrected

Scientific paper

In this paper we develop Poisson geometry for non-commutative algebras. This generalizes the bi-symplectic geometry which was recently, and independently, introduced by Crawley-Boevey, Etingof and Ginzburg. Our (quasi-)Poisson brackets induce classical (quasi-)Poisson brackets on representation spaces. As an application we show that the moduli spaces of representations associated to the deformed multiplicative preprojective algebras recently introduced by Crawley-Boevey and Shaw carry a natural Poisson structure.

Affiliated with

Also associated with

No associations

Rating

Double Poisson algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Double Poisson algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Double Poisson algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-477815