On the d-invariant of compact solvmanifolds.
On the dynamics of pseudo-Anosov homeomorphisms on representation varieties of surface groups.
On the Enright functor in the highest weight category.
On the Enright-Varadarajan modules : a construction of the discrete series
On the equivalence of control systems on Lie groups
We consider state space equivalence and feedback equivalence in the context of (full-rank) left-invariant control systems on Lie groups. We prove that two systems are state space equivalent (resp.~detached feedback equivalent) if and only if there exists a Lie group isomorphism relating their parametrization maps (resp. traces). Local analogues of these results, in terms of Lie algebra isomorphisms, are also found. Three illustrative examples are provided.
On the existence of commutative Banach-Lie groups which do not admit continuous unitary representations
On the Existence of Exotic Banach-Lie Groups.
On the existence of unitary representations of commutative nuclear Lie groups
On the exponential function of real splittable and real semisimple Lie groups.
On the exponential map of almost simple real algebraic groups.
On the exponential map of the Lie groups locally isomorphic to .
On the extensions of infinite-dimensional representations of Lie semigroups.
On the form of principal torus-bundles over toruses
On the foundations of Lie semigroups.
On the Fourier transforms of weighted orbital integrals.
On the geometry of the Virasoro-Bott group.
On the G-Homotopy Equivalence of Spheres of Representations.
On the Hattori-Stallings trace for certain primitive factors of enveloping algebras of semisimple Lie algebras.
On the Hilbert-Schmidt Semi-Norms of L1 of a Nilpotent Lie Group.
On the holomorphic separabilitiy of discrete quotients of complex Lie groups.