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If for a vector space V of dimension g over a characteristic zero field wedenote by $\wedge^iV$ its alternating powers, and by $V^\vee$ its linear dual,then there are natural Poincar\'e isomorphisms: $\wedge^i V^\vee \cong\wedge^{g-i} V$. We describe an analogous result for objects in rigidpseudo-abelian $\mathbb{Q}$-linear ACU tensor categories.

Poincar\'e duality isomorphisms in tensor categories