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In the paper, we study noncommutative symplectic manifolds    $$(A,\llbracket \omega \rrbracket )$$  ( A , 〚 ω 〛 ) , where  A  is a self-injective Nakayama algebra. There is given a full description of exact symplectic manifolds for  A  being the trivial extension of an hereditary Nakayama algebra.

Noncommutative symplectic manifolds for self-injective Nakayama algebras