On Conormal Lie Algebras of Feigin-Odesskii Poisson Structures - Archive ouverte HAL
Article Dans Une Revue Journal of Geometry and Physics Année : 2025

On Conormal Lie Algebras of Feigin-Odesskii Poisson Structures

Résumé

The main result of the paper is a description of conormal Lie algebras of Feigin-Odesskii Poisson structures. In order to obtain it, we introduce a new variant of a definition of a Feigin-Odesskii Poisson structure: we define it using a differential on the second page of a certain spectral sequence. In the general case, this spectral sequence computes morphisms and higher Ext ′ s between filtered objects in an Abelian category. Moreover, we use our definition to give another proof of the description of symplectic leaves of Feigin-Odesskii Poisson structures.
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hal-04783115 , version 1 (08-01-2025)

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Leonid Gorodetsky, Nikita Markarian. On Conormal Lie Algebras of Feigin-Odesskii Poisson Structures. Journal of Geometry and Physics, 2025, 209, pp.105400. ⟨10.1016/j.geomphys.2024.105400⟩. ⟨hal-04783115⟩
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