On Tunnell’s formula for characters of
On unitary representations of Jacobi groups.
On universal enveloping algebras in a topological setting
We study some embeddings of suitably topologized spaces of vector-valued smooth functions on topological groups, where smoothness is defined via differentiability along continuous one-parameter subgroups. As an application, we investigate the canonical correspondences between the universal enveloping algebra, the invariant local operators, and the convolution algebra of distributions supported at the unit element of any finite-dimensional Lie group, when one passes from finite-dimensional Lie groups...
On varieties of topological groups generated by solvable groups
On volumes of arithmetic quotients of
We apply G. Prasad’s volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of . As a result we prove that for any even dimension there exists a unique compact arithmetic hyperbolic -orbifold of the smallest volume. We give a formula for the Euler-Poincaré characteristic of the orbifolds and present an explicit description of their fundamental groups as the stabilizers of certain lattices in quadratic spaces. We...
On Whittaker Vectors and Representation Theory.
On zeroes of the twisted tensor L-function.
One Parameter Subgroups and Nonstandard Analysis.
One-dimensional K-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.
One-parameter subgroups and the B-C-H formula
An algebraic scheme for Lie theory of topological groups with "large" families of one-parameter subgroups is proposed. Such groups are quotients of "𝔼ℝ-groups", i.e. topological groups equipped additionally with the continuous exterior binary operation of multiplication by real numbers, and generated by special ("exponential") elements. It is proved that under natural conditions on the topology of an 𝔼ℝ-group its group multiplication is described by the B-C-H formula in terms of the associated...
Opérateurs différentiels bi-invariants
Opérateurs différentiels bi-invariants sur un groupe de Lie
Operateurs differentiels de Shimura et espaces prehomogenes.
Opérateurs invariants hypoelliptiques sur un groupe de Lie nilpotent
Opérateurs pseudodifférentiels et représentations unitaires des groupes de Lie
Opération de groupes réductifs dans un type de cônes presque homogènes
Operator k-theory for the group SU(n, 1).
Operators on differential forms for Lie transformation groups.
Operators with shift generating by a compact Lie group.
Orbit closures of generic unipotent flows on homogeneous spaces of SL (3, IR).