On Neutral Subgroups of Topological Groups.
On nonamenable groups.
On Non-Compact Complex Nil-Manifolds.
On normal subgroups of compact groups
Among compact Hausdorff groups whose maximal profinite quotient is finitely generated, we characterize those that possess a proper dense normal subgroup. We also prove that the abstract commutator subgroup is closed for every closed normal subgroup of .
On -ideals of groups of divisibility
On observable subgroups of complex analytic groups and algebraic structures on analytic homogeneous spaces.
On Ol'shanskii's semigroup.
On onesided harmonic analysis in non commutative locally compact groups.
On open subsemigroups of connected groups.
On operators satisfying the Rockland condition
Let G be a homogeneous Lie group. We prove that for every closed, homogeneous subset Γ of G* which is invariant under the coadjoint action, there exists a regular kernel P such that P goes to 0 in any representation from Γ and P satisfies the Rockland condition outside Γ. We prove a subelliptic estimate as an application.
On orderability of topological groups.
On parabolic Whittaker functions II
We propose a Givental-type stationary phase integral representation for the restricted Grm,N-Whittaker function, which is expected to describe the (S 1×U N)-equivariant Gromov-Witten invariants of the Grassmann variety Grm,N. Our key tool is a generalization of the Whittaker model for principal series U(gl N)-modules, and its realization in the space of functions of totally positive unipotent matrices. In particular, our construction involves a representation theoretic derivation of the Batyrev-Ciocan-Fontanine-Kim-van...
On parametrization of the linear and unitary groups in terms of Dirac matrices.
On Poincaré Duality Groups of Poly-Linear Type and Their Realisations.
On porcupine varieties in Lie algebras.
On positive Rockland operators
Let G be a homogeneous Lie group with a left Haar measure dg and L the action of G as left translations on . Further, let H = dL(C) denote a homogeneous operator associated with L. If H is positive and hypoelliptic on we prove that it is closed on each of the -spaces, p ∈ 〈 1,∞〉, and that it generates a semigroup S with a smooth kernel K which, with its derivatives, satisfies Gaussian bounds. The semigroup is holomorphic in the open right half-plane on all the -spaces, p ∈ [1,∞]. Further extensions...
On Prealgebraic Groups.
On Primary Ideals in Group Algebras.
On Primary Ideals in the Group Algebra of a Nilpotent Lie Group.
On projective and injective objects of the categories dual to .