Necklace Lie algebras and noncommutative symplectic geometry
Bocklandt, Raf ; Bruyn, Lieven Le
arXiv, 0010030 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-10-03
Classification:  Mathematics - Algebraic Geometry,  Mathematical Physics,  Mathematics - Differential Geometry,  Mathematics - Quantum Algebra,  Mathematics - Representation Theory,  14A22 
@article{0010030,
     author = {Bocklandt, Raf and Bruyn, Lieven Le},
     title = {Necklace Lie algebras and noncommutative symplectic geometry},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010030}
}

Bocklandt, Raf; Bruyn, Lieven Le. Necklace Lie algebras and noncommutative symplectic geometry. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010030/