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arXiv · 2303.06184

Diffeological Symplectic Frobenius Reciprocity

Gabriele Barbieri·Mauro Spera
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Abstract

In this note we prove that the symplectic Frobenius Reciprocity established in the paper "Symplectic Induction, Prequantum Induction and Prequantum Multiplicities" as a set bijection is indeed a diffeological diffeomorphism, as conjectured by its authors Ratiu and Ziegler. The same holds in the prequantum space context.

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Gabriele Barbieri, Mauro Spera. 2023-03-10. Diffeological Symplectic Frobenius Reciprocity. https://arxiv.org/abs/2303.06184

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