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math-ph2025
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-ph2024★ 6 cited
The classification of general affine connections in Newton--Cartan geometry: Towards metric-affine Newton--Cartan gravity
Philip K. Schwartz
We give a full classification of general affine connections on Galilei manifolds in terms of independently specifiable tensor fields. This generalises the well-known case of (torsi…