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Group Contractions via Infinite-Dimensional Lie Theory
David Prinz, Alexander Schmeding, Philip K. Schwartz
Contractions are a procedure to construct a new Lie algebra out of a given one via a singular limit. Specifically, the İnönü--Wigner construction starts with a Lie algebra $\mathfr…
math.SG2025
Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas
Michael Gjertsen, Alexander Schmeding
We present geometric quantization on cotangent bundles as a special instance of Kirillov's orbit method. To this end, the cotangent bundle is realized as a coadjoint orbit of an in…