Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Ziegler, Francois"'
Autor:
Clark, Brant, Ziegler, Francois
Let $H$ be a dense subgroup of a Lie group $G$ with Lie algebra $\mathfrak g$. We show that the (diffeological) de Rham cohomology of $G/H$ equals the Lie algebra cohomology of $\mathfrak g/\mathfrak h$, where $\mathfrak h$ is the ideal $\{Z\in\mathf
Externí odkaz:
http://arxiv.org/abs/2407.07381
A recent paper [R22] established "Frobenius reciprocity" as a bijection $t$ between certain symplectically reduced spaces (which need not be manifolds), and conjectured: 1{\deg}) $t$ is a diffeomorphism when these spaces are endowed with their natura
Externí odkaz:
http://arxiv.org/abs/2403.03927
Autor:
Ratiu, Tudor S., Ziegler, Francois
Publikováno v:
Commun. Contemp. Math. Vol. 24, No. 4 (2022) 2150057 (13 pages)
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 established a parallel property of Hamiltonian G-spaces, which (as we sh
Externí odkaz:
http://arxiv.org/abs/2007.09434
Autor:
Mason, Thomas, Ziegler, Francois
Publikováno v:
Differ. Geom. Appl. 86 (2023) 101968
The coadjoint orbits of compact Lie groups each carry a canonical (positive definite) K\"ahler structure, famously used to realize the group's irreducible representations in holomorphic sections of appropriate line bundles (Borel-Weil theorem). Less
Externí odkaz:
http://arxiv.org/abs/2007.09302
Publikováno v:
J. Geom. Phys. 158 (2020) 103871
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 result as formulated by V. Gorini (1971) for $n$+1-dimensional space-t
Externí odkaz:
http://arxiv.org/abs/2007.09301
Autor:
Mason, Thomas, Ziegler, François
Publikováno v:
In Differential Geometry and its Applications February 2023 86
Autor:
Yéléhé-Okouma, Mélissa, Malaplate, Catherine, Petitpain, Nadine, Metallo, Mélanie, Ziegler, François, Klein, Marc, Guerci, Bruno, Feigerlová, Eva *
Publikováno v:
In Endocrine Practice September 2020 26(9):1031-1038
Autor:
Ziegler, Francois
Many years ago Kazhdan, Kostant and Sternberg defined the notion of inducing a hamiltonian action from a Lie subgroup. In this paper, we develop the attendant imprimitivity theorem and Mackey analysis in the full generality needed to deal with arbitr
Externí odkaz:
http://arxiv.org/abs/1410.7950
Autor:
Ziegler, Francois
Let X be a symplectic manifold and Aut(L) the automorphism group of a Kostant-Souriau line bundle on X. *Quantum states for X*, as defined by J.-M. Souriau in the 1990s, are certain positive-definite functions on Aut(L) or, less ambitiously, on any "
Externí odkaz:
http://arxiv.org/abs/1310.7882
Autor:
Howe, Roger, Ziegler, Francois
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2015) 910-914
We show that any nonzero orbit under a noncompact, simple, irreducible linear group is dense in the Bohr compactification of the ambient space.
Comment: 5 Pages. Final preprint version, to appear in Ergodic Theory and Dynamical Systems
Comment: 5 Pages. Final preprint version, to appear in Ergodic Theory and Dynamical Systems
Externí odkaz:
http://arxiv.org/abs/1211.3783