Regular infinite dimensional Lie groups.
Regular Lie groups and a theorem of Lie-Palais.
Regular orbital measures on Lie algebras
Let H₀ be a regular element of an irreducible Lie algebra , and let be the orbital measure supported on . We show that if and only if k > dim /(dim - rank ).
Regular trace formula and base change for
The “regular”trace formula, for a test function with a local component which is Iwahori-biinvariant and sufficiently regular with respect to the other components, is developed in the context of a reductive group. It is used to give a simple proof of the theory of base-change for cuspidal automorphic representations of which have a supercuspidal component. A purely local proof is given to transfer orbital integrals of sufficiently many spherical functions, by relating them to regular Iwahori functions....
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
We prove the hypoellipticity for systems of Hörmander type with constant coefficients in Carnot groups of step 2. This result is used to implement blow-up methods and prove partial regularity for local minimizers of non-convex functionals, and for solutions of non-linear systems which appear in the study of non-isotropic metric structures with scalings. We also establish estimates of the Hausdorff dimension of the singular set.
Regularly related lattices in locally compact groups.
Relative discrete series of line bundles over bounded symmetric domains
We study the relative discrete series of the -space of the sections of a line bundle over a bounded symmetric domain. We prove that all the discrete series appear as irreducible submodules of the tensor product of a holomorphic discrete series with a finite dimensional representation.
Relative Invarianten und nicht-assoziative Algebren.
Relative Kazhdan property
Relative Kloosterman integrals for GL(3)
Relative property (T) and linear groups
Relative property (T) has recently been used to show the existence of a variety of new rigidity phenomena, for example in von Neumann algebras and the study of orbit-equivalence relations. However, until recently there were few examples of group pairs with relative property (T) available through the literature. This motivated the following result: A finitely generated group admits a special linear representation with non-amenable -Zariski closure if and only if it acts on an Abelian group (of...
Relativity and irreversibility.
Remark on the complexified Iwasawa decomposition.
Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then [...] for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a viewpoint of Lie algberas.
Remarks on integration over Lie algebras
Remarks on locally compact group extensions.
Remarks on points of approximation of discrete sugroups of U(1,n; C).
Remarks on the symmetric space ... and its quatization.
Remarque sur la cohomologie de l'algèbre de Lie des champs de vecteurs sur la sphère
Représentation de Weil et changement de base quadratique