Diffeological Symplectic Frobenius Reciprocity
Symplectic Geometry
2023-04-12 v2
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.
Cite
@article{arxiv.2303.06184,
title = {Diffeological Symplectic Frobenius Reciprocity},
author = {Gabriele Barbieri and Mauro Spera},
journal= {arXiv preprint arXiv:2303.06184},
year = {2023}
}
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14 pages