1 citations · 2 across the 2 of their papers we have counts for
5 papers
The de Rham cohomology of a Lie group modulo a dense subgroup
Brant Clark, Francois Ziegler
Let be a dense subgroup of a Lie group with Lie algebra . We show that the (diffeological) de Rham cohomology of equals the Lie algebra cohomology of $\m…
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…
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…
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…
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…