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math-ph2020★ 4 cited
Relativity without light: A new proof of Ignatowski's theorem
Jean-Philippe Anker, Francois Ziegler
V. Ignatowski (1910) showed that assumptions about light are not necessary to obtain Lorentzian kinematics as one of only few possibilities. We give a much simplified proof of his…
math.SG2020
Symplectic Induction, Prequantum Induction, and Prequantum Multiplicities
Tudor S. Ratiu, Francois Ziegler
Frobenius reciprocity asserts that induction from a subgroup and restriction to it are adjoint functors in categories of unitary G-modules. In the 1980s, Guillemin and Sternberg es…
math.DG2020
Explicit Pseudo-Kähler Metrics on Flag Manifolds
Thomas Mason, Francois Ziegler
The coadjoint orbits of compact Lie groups each carry a canonical (positive definite) Kähler structure, famously used to realize the group's irreducible representations in holomorp…