Necklace Lie algebras and noncommutative symplectic geometry
Copyright policy )Necklace Lie algebras and noncommutative symplectic geometry
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.
- University of Antwerp Belgium
Mathematics - Differential Geometry, deformed preprojective algebras, FOS: Physical sciences, Symplectic manifolds (general theory), infinite dimensional Lie algebras, coadjoint orbits, Mathematics - Algebraic Geometry, varieties of representations, Mathematics - Quantum Algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Quantum Algebra (math.QA), Representation Theory (math.RT), Rings arising from noncommutative algebraic geometry, Algebraic Geometry (math.AG), Mathematical Physics, Noncommutative algebraic geometry, Calogero phase spaces, Mathematical Physics (math-ph), 14A22, noncommutative symplectic geometry, Differential Geometry (math.DG), Representations of quivers and partially ordered sets, Mathematics, Mathematics - Representation Theory
Mathematics - Differential Geometry, deformed preprojective algebras, FOS: Physical sciences, Symplectic manifolds (general theory), infinite dimensional Lie algebras, coadjoint orbits, Mathematics - Algebraic Geometry, varieties of representations, Mathematics - Quantum Algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Quantum Algebra (math.QA), Representation Theory (math.RT), Rings arising from noncommutative algebraic geometry, Algebraic Geometry (math.AG), Mathematical Physics, Noncommutative algebraic geometry, Calogero phase spaces, Mathematical Physics (math-ph), 14A22, noncommutative symplectic geometry, Differential Geometry (math.DG), Representations of quivers and partially ordered sets, Mathematics, Mathematics - Representation Theory
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