We give a new proof of the existence of Klyachko models for unitary representations of @math over a non-archimedean local field @math . Our methods are purely local and are based on studying distinction within the class of ladder representations introduced by Lapid and Minguez. We classify those ladder representations that are distinguished with respect to Klyachko models. We prove the hereditary property of these models for induced representations from arbitrary finite length representations. Finally, in the other direction and in the context of admissible representations induced from ladder, we study the relation between distinction of the parabolic induction with respect to the symplectic groups and distinction of the inducing data.
The present work began as an attempt to extend the distinction results of @cite_1 and @cite_11 from the unitary dual of @math to the admissible dual of @math
@cite_1 @cite_11
2141469696 2963688096
We provide a family of representations of GLn over a p-adic field that admit a non-vanishing linear functional invariant under the symplectic group (i.e. representations that are Sp(n)-distinguished). This is a generalization of a result of Heumos–Rallis. Our proof uses global methods. The results of [Omer Offen, Eitan Sayag, Global mixed periods and local Klyachko models for the general linear group, submitted for publication] imply that the family at hand contains all irreducible, unitary representations that are distinguished by the symplectic group. Through radio frequency glow discharge the molecular structure of a fluoropolymer is permanently modified by the substitution of hydrogen and oxygen or oxygen-containing radicals for fluorine to a depth of up to 100 ANGSTROM . The surface morphological properties on a molecular level (e.g., pore structure) of the modified fluoropolymer remain substantially uncharged from those of the starting polymer as well as the bulk structure below the modified surface region while wettability with respect to low surface tension liquids and surface free energy as determined through critical surface tension are increased and new chemically reactive sites are created for further wet chemical modification or attachment of various functionality for development of a bioprobe device.