Diffeological Symplectic Frobenius Reciprocity

Published 10 Mar 2023 in math.SG | (2303.06184v2)

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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