Locally analytic distributions and -adic representation theory, with applications to ₂

116 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Locally analytic vectors in representations of locally p-adic analytic groups (2004, methodology): “One of the main interests of the theory (from the point of view of number theory) is that it provides a setting in which one can study p-adic completions of the classical representations [6], or construct “p-adic interpolations” of them (for example, by defining locally analytic analogues of the pri”
Algebras of p-adic distributions and admissible representations (2002, methodology): “tic functions on G. When Gis the group of L-points of an algebraic group, the class of such representations includes many interesting examples, such as the principal series representations studied in [ST2], the ﬁnite dimensional algebraic representations, and the smooth representations of Langlands ”
Duality for admissible locally analytic representations (2004, methodology): “ (χ) (with the right hand side having the obvious meaning). The space IndG0 P0 (χ) is closed in Can(G 0,K) and hence is of compact type with its continuous dual being a Hausdorﬀ quotient of D(G 0,K) ([ST1] Prop. 1.2(i)). Using [ST2] Lemma 3.6 we conclude that IndG0 P0 (χ) and IndG P (χ) are admissib”
Jacquet modules of locally analytic representations of p-adic reductive groups I. Construction and first properties (2006, methodology): “(such as strong admissibility, admissibility, or essential admissibility, as defined in [ 17 ], [20], and [8] respectively).”