Semigroups with commuting threads.
Semiholonomic jets and induced modules in Cartan geometry calculus
The famous Erlangen Programme was coined by Felix Klein in 1872 as an algebraic approach allowing to incorporate fixed symmetry groups as the core ingredient for geometric analysis, seeing the chosen symmetries as intrinsic invariance of all objects and tools. This idea was broadened essentially by Elie Cartan in the beginning of the last century, and we may consider (curved) geometries as modelled over certain (flat) Klein’s models. The aim of this short survey is to explain carefully the basic...
Semisimple strata for p-adic classical groups
Semistable Measures and Limit Theorems on Real and p-adic Groups.
Separately radial and radial Toeplitz operators on the projective space and representation theory
We consider separately radial (with corresponding group ) and radial (with corresponding group symbols on the projective space , as well as the associated Toeplitz operators on the weighted Bergman spaces. It is known that the -algebras generated by each family of such Toeplitz operators are commutative (see R. Quiroga-Barranco and A. Sanchez-Nungaray (2011)). We present a new representation theoretic proof of such commutativity. Our method is easier and more enlightening as it shows that the...
Separation of unitary representations of .
Separation of unitary representations of exponential Lie groups.
Series of nilpotent orbits.
S-functions and characters of Lie algebras and Lie groups
Sharp Inequalities for Weyl Operators and Heisenberg Groups.
Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups
Simple facts about analytic vectors and integrability
Simplicity of Neretin's group of spheromorphisms
Denote by , , the regular tree whose vertices have valence , its boundary. Yu. A. Neretin has proposed a group of transformations of , thought of as a combinatorial analogue of the diffeomorphism group of the circle. We show that is generated by two groups: the group of tree automorphisms, and a Higman-Thompson group . We prove the simplicity of and of a family of its subgroups.
Simultaneous approximation in number fields.
Singular Holomorphic Representations and Singular Modular Forms.
Singular integrals on Iwasawa NA groups of rank 1.
Singular integrals on the complex affine group
Singular integrals supported on submanifolds
Singular unitary representations of classical groups.
SL(2) has no C1-extension to a half-space.