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math.DG2024★ 1 cited
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…
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…