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 .
On pseudocompact topological Brandt λ 0 -extensions of semitopological monoids
In the paper we investigate topological properties of a topological Brandt λ0-extension B0λ(S) of a semitopological monoid S with zero. In particular we prove that for every Tychonoff pseudocompact (resp., Hausdorff countably compact, Hausdorff compact) semitopological monoid S with zero there exists a unique semiregular pseudocompact (resp., Hausdorff countably compact, Hausdorff compact) extension B0λ(S) of S and establish their Stone-Cˇ ech and Bohr compactifications. We also describe a category...
On -ideals in compact semigroups
On quadratic loops of Bol-Moufang type
On quasi-transitive semigroup actions.
On quaternionic discrete series representations, and their continuations.
On rank one symmetric space
In this paper we survey some recent results on rank one symmetric space.