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Necklace Lie algebras and noncommutative symplectic geometry

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arxiv math/0010030 v1 pith:PHU5WNKG submitted 2000-10-03 math.AG math-phmath.DGmath.MPmath.QAmath.RT

Raf Bocklandt , Lieven Le Bruyn This is my paper
classification math.AGmath-phmath.DGmath.MPmath.QAmath.RT
keywords algebrasgeometryginzburgnoncommutativesymplecticalgebraargumentcalogero
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quartic BV structures in supercategories and modified necklace Lie bialgebras

    math.QA 2025-09 conditional novelty 7.0 of 10

    The augmented necklace Lie bialgebra, whose bracket and cobracket insert rather than remove involution pairs of arrows, is claimed to satisfy the IBL axioms and is witnessed by quartic Poisson/BV structures on represe...

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