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- Title
Solid locally analytic representations of p-adic Lie groups.
- Authors
Jacinto, Joaquín Rodrigues; Camargo, Juan Esteban Rodríguez
- Abstract
We develop the theory of locally analytic representations of compact p-adic Lie groups from the perspective of the theory of condensed mathematics of Clausen and Scholze. As an application, we generalise Lazard's isomorphisms between continuous, locally analytic and Lie algebra cohomology to solid representations. We also prove a comparison result between the group cohomology of a solid representation and of its analytic vectors.
- Subjects
LAZARD Ltd.; LIE algebras; SOLIDS; ISOMORPHISM (Mathematics); LIE groups; MATHEMATICS; P-adic analysis
- Publication
Representation Theory, 2022, p962
- ISSN
1088-4165
- Publication type
Article
- DOI
10.1090/ert/615