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Amalgams of Weyl algebras and theA (V, δ, Γ) conjecture

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We prove a long standing conjecture ([5, Conjecture 5.6]) concerning the algebrasA (V, δ, Γ). Namely, two such algebrasA (V, δ, Γ),A (W, ε, Ω) are isomorphic if and only if there is an isomorphism between the ‘triples’ (V, δ, Γ), (W, ε, Ω) from which they are constructed. As a consequence, to each primitive ideal in the enveloping algebra of a solvable Lie algebra there is associated a unique (V, δ, Γ).

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McConnell, J.C. Amalgams of Weyl algebras and theA (V, δ, Γ) conjecture. Invent Math 92, 163–171 (1988). https://doi.org/10.1007/BF01393997

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