Co-invariants of Lie algebras of vector fields on algebraic varieties

We prove that the space of coinvariants of functions on an affine variety by a Lie algebra of vector fields whose flow generates finitely many leaves is finite-dimensional. Cases of the theorem include Poisson (or more generally Jacobi) varieties with finitely many symplectic leaves under Hamiltonia...

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Bibliographic Details
Main Authors: Etingof, Pavel I, Schedler, Travis
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: International Press of Boston 2018
Online Access:http://hdl.handle.net/1721.1/115888
https://orcid.org/0000-0002-0710-1416