Necklace Lie algebras and noncommutative symplectic geometry
Algebraic Geometry
2007-05-23 v1 Mathematical Physics
Differential Geometry
math.MP
Quantum Algebra
Representation Theory
Abstract
Recently V. Ginzburg proved that Calogero phase space is a coadjoint orbit for some infinite dimensional Lie algebra coming from noncommutative symplectic geometry. In this note we generalize this argument to specific quotient varieties of representations of (deformed) preprojective algebras. This result was also obtained independently by V. Ginzburg.
Keywords
Cite
@article{arxiv.math/0010030,
title = {Necklace Lie algebras and noncommutative symplectic geometry},
author = {Raf Bocklandt and Lieven Le Bruyn},
journal= {arXiv preprint arXiv:math/0010030},
year = {2007}
}