The irreducible unitary -spherical representations of
The Kazhdan-Lusztig Conjecture for Generalized Verma Modules
The kernel of an homomorphism of Harish-Chandra
The kernel of the determining endomorphism of a bisimple ...-semigroup.
The Kobayashi-Pseudodistance on Homogeneous Manifolds.
The -compactification of a topologized semigroup
The -Cohomology of
The -theory of profinite abelian groups
The L2-Lefschetz numbers of Hecke operators.
The laplacian and the Dirac operator in infinitely many variables
The Last Possible Place of Unitarity for Certain Highest Weight Modules.
The lattice of topologies of topological -groups
The Lefschetz Number of an Involution on the Space of Harmonic Cusp Forms of SL3.
The length spectrum of riemannian two-step nilmanifolds
The Lévy continuity theorem for nuclear groups
Let G be an abelian topological group. The Lévy continuity theorem says that if G is an LCA group, then it has the following property (PL) a sequence of Radon probability measures on G is weakly convergent to a Radon probability measure μ if and only if the corresponding sequence of Fourier transforms is pointwise convergent to the Fourier transform of μ. Boulicaut [Bo] proved that every nuclear locally convex space G has the property (PL). In this paper we prove that the property (PL) is inherited...
The Lie algebra of a nuclear group.
The Lie group in infinite dimension.
The Lie group of real analytic diffeomorphisms is not real analytic
We construct an infinite-dimensional real analytic manifold structure on the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is defined to be real analytic if it extends to a holomorphic map on some neighbourhood of the complexification of its domain. As is well known, the construction turns the group of real analytic diffeomorphisms into a smooth locally convex Lie group. We prove that this group is regular in the sense of Milnor. ...
The Lie groupoid analogue of a symplectic Lie group
A symplectic Lie group is a Lie group with a left-invariant symplectic form. Its Lie algebra structure is that of a quasi-Frobenius Lie algebra. In this note, we identify the groupoid analogue of a symplectic Lie group. We call the aforementioned structure a -symplectic Lie groupoid; the “" is motivated by the fact that each target fiber of a -symplectic Lie groupoid is a symplectic manifold. For a Lie groupoid , we show that there is a one-to-one correspondence between quasi-Frobenius Lie algebroid...
The Lindelöf property and pseudo--compactness in spaces and topological groups
We introduce and study, following Z. Frol’ık, the class of regular -spaces such that the product is pseudo--compact, for every regular pseudo--compact -space . We show that every pseudo--compact space which is locally is in and that every regular Lindelöf -space belongs to . It is also proved that all pseudo--compact -groups are in . The problem of characterization of subgroups of -factorizable (equivalently, pseudo--compact) -groups is considered as well. We give some necessary...