A Series of Unitary Irreducible Representations Induced from a Symmetric Subgroup of a Semisimple Lie Group.
A theorem of the theory of semi-simple Lie groups
A trace formula for reductive groups. II : applications of a truncation operator
A trace formula for semi-simple Lie algebras
A two-dimensional pictorial presentation of Berele's insertion algorithm for symplectic tableaux.
A uniformly bounded representation associated to a free set in a discrete group
A weighted Plancherel formula II. The case of the ball
The group SU(1,d) acts naturally on the Hilbert space , where B is the unit ball of and the weighted measure . It is proved that the irreducible decomposition of the space has finitely many discrete parts and a continuous part. Each discrete part corresponds to a zero of the generalized Harish-Chandra c-function in the lower half plane. The discrete parts are studied via invariant Cauchy-Riemann operators. The representations on the discrete parts are equivalent to actions on some holomorphic...
A weighted Plancherel formula. III. The case of the hyperbolic matrix ball.
Addendum to "Existence of Hermitian n-Symmetric Spaces and of Non-commutative Naturally Reductive Spaces".
Adjoint representation of and del Pezzo surfaces of degree
Let be a del Pezzo surface of degree , and let be the simple Lie group of type . We construct a locally closed embedding of a universal torsor over into the -orbit of the highest weight vector of the adjoint representation. This embedding is equivariant with respect to the action of the Néron-Severi torus of identified with a maximal torus of extended by the group of scalars. Moreover, the -invariant hyperplane sections of the torsor defined by the roots of are the inverse images...
Adjoint vector fields on the tangent space of semisimple symmetric spaces.
Affine Actions of Higher Rank Lattices.
Algebraic Hulls and the Folner Property.
Almost L2 matrix coefficients.
Alternating Sum Formulas for Multiplicities in ...(...). II.
An algebraic proof of the PRV conjecture for very regular weights.
An application of the building to orbital integrals
An endpoint estimate for the Kunze-Stein phenomenon and related maximal operators.
An estimation of the controllability time for single-input systems on compact Lie Groups
Geometric control theory and Riemannian techniques are used to describe the reachable set at time t of left invariant single-input control systems on semi-simple compact Lie groups and to estimate the minimal time needed to reach any point from identity. This method provides an effective way to give an upper and a lower bound for the minimal time needed to transfer a controlled quantum system with a drift from a given initial position to a given final position. The bounds include diameters...
An example of unipotent representations associated with a nilpotent nonminimal orbit: The case of orbits of dimension 10 of . (Un exemple de représentations unipotentes associées à une orbite nilpotente non minimale: le cas des orbites de dimension 10 de .)