Jordan algebras and degenerate principal series.
Jordan algebras and generalized principle series representations.
Kac-Moody groups, hovels and Littelmann paths
We give the definition of a kind of building for a symmetrizable Kac-Moody group over a field endowed with a discrete valuation and with a residue field containing . Due to the lack of some important property of buildings, we call it a hovel. Nevertheless, some good ones remain, for example, the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semisimple case by S. Gaussent and P. Littelmann. In particular, if , the geodesic segments...
Kaehler coherent state orbits for representations of semisimple Lie groups
Kähler structures and convexity properties of coadjoint orbits.
Kazhdan constants and matrix coefficients of .
Kazhdan constants associated with Laplacian on connected Lie groups.
Kazhdan constants for SL (3, Z).
Kazhdan groups acting on compact manifolds.
Kazhdan-Lusztig Conjecture and Holonomic Systems.
Kazhdan's property (T) and amenable representations.
K-finite Whittaker functions are of finite order one
We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.
Kinematic geometry of regular motions in homogeneous space
K-Invariants in the universal enveloping algebra of the Desitter Group.
Kirillov's Character Formula for Reductive Lie Groups.
Kleinian groups, the Teichmueller space and Mostow's rigidity theorem.
Kloosterman integrals and base change for GL (2).
Kontrahierende Erweiterungen und kontrahierbare Gruppen.
Kontsevich quantization and invariant distributions on Lie groups
Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.