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Lie algebra representations via deformations within Weyl algebras

We have found a universal formula for representation of any Lie algebra over a ring containing rational numbers as a deformation of abelian subalgebra within Weyl algebra. I explain a general motivation for this type of construction and two approaches -- one via recursive calculation with arbitrary degree tensors, and another via geometry of formal schemes. The work is joint with N. Durov, A. Samsarov and S. Meljanac.

Lie algebras over rings; universal formula; deformation; Weyl algebra

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