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math.SG2026
Pseudo--Kähler induction on Lie groups with entire Grauert tubes
Gabriele Barbieri, Andrea Galasso
Given a closed subgroup and a Hamiltonian -space , one can construct an induced Hamiltonian -space. In this paper we investigate this construction in the se…
math.SG2024
Remarks on Diffeological Frobenius Reciprocity
Gabriele Barbieri, Jordan Watts, Francois Ziegler
A recent paper [R22] established "Frobenius reciprocity" as a bijection between certain symplectically reduced spaces (which need not be manifolds), and conjectured: 1°) is…
math.SG2023
Diffeological Symplectic Frobenius Reciprocity
Gabriele Barbieri, Mauro Spera
In this note we prove that the symplectic Frobenius Reciprocity established in the paper "Symplectic Induction, Prequantum Induction and Prequantum Multiplicities" as a set bijecti…