Abstract
Let be a prime number, let be a finite extension of the field of -adic numbers, let be a spherically complete extension field of , and let be the group of -rational points of a split reductive group over . We derive several explicit descriptions of the center of the algebra of locally analytic distributions on with values in . The main result is a generalization of an isomorphism of Harish-Chandra which connects the center of with the algebra of Weyl-invariant, centrally supported distributions on a maximal torus of G. This isomorphism is supposed to play a role in the theory of locally analytic representations of as studied by P. Schneider and J. Teitelbaum
Citation
Jan Kohlhaase. "Invariant distributions on -adic analytic groups." Duke Math. J. 137 (1) 19 - 62, 15 March 2007. https://doi.org/10.1215/S0012-7094-07-13712-8
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