Determination of the Interwining Operators for Holomorphically Induced Representations of SU (p,q).
Determining representations from invariant dimensions.
Die Klassifikation der einfachen Lieschen Gruppen.
Die Langlands-Parameter für die Flensted-Jensensche fundamentale Reihe.
Differential operators on homogeneous spaces. III. Characteristic varieties of Harish Chandra modules and of primitive ideals.
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Discrete spectrum of the reductive dual pair (O(p,q), Sp(2m)).
Eigenfunction expansions of functions describing systems with symmetries.
Eigenspaces of Invariant Differential Operators on an Affine Symmetric Space.
Eigenvalues of sums of hermitian matrices
Ellipticity of the symplectic twistor complex
For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection) admitting a metaplectic structure, we shall investigate two sequences of first order differential operators acting on sections of certain infinite rank vector bundles defined over this manifold. The differential operators are symplectic analogues of the twistor operators known from Riemannian or Lorentzian spin geometry. It is known that the mentioned sequences form complexes if the symplectic...
Endoscopic groups and packets of non-tempered representations
Equivariant deformation quantization for the cotangent bundle of a flag manifold
Let be a (generalized) flag manifold of a complex semisimple Lie group . We investigate the problem of constructing a graded star product on which corresponds to a -equivariant quantization of symbols into twisted differential operators acting on half-forms on . We construct, when is generated by the momentum functions for , a preferred choice of where has the form . Here are operators on . In the known examples, () is not a differential operator, and so the star product ...
Ergodic decomposition for pairs of lattices in Lie groups.
Erratum: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.
Erratum : “-Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations”
Erratum : “Closed orbits and tempered orbits”
Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients
Explicit Hilbert spaces for certain unipotent representations.
Explicit Kazhdan constants for representations of semisimple and arithmetic groups
Consider a simple non-compact algebraic group, over any locally compact non-discrete field, which has Kazhdan’s property . For any such group, , we present a Kazhdan set of two elements, and compute its best Kazhdan constant. Then, settling a question raised by Serre and by de la Harpe and Valette, explicit Kazhdan constants for every lattice in are obtained, for a “geometric” generating set of the form , where is a ball of radius , and the dependence of on is described explicitly....