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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 558=28, 2024.

Original scientific paper

https://doi.org/10.21857/mjrl3uo0x9

Jacquet tensors

Dubravka Ban orcid id orcid.org/0000-0003-3099-5697 ; School of Mathematical and Statistical Sciences, Southern Illinois University, 1245 Lincoln Drive, Carbondale, Illinois 62901, U.S.A.

Full text: english pdf 669 Kb

page 405-423

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Abstract

Let G be a split reductive p-adic group. The category of admissible p-adic Banach space representations of G is equivalent to the corresponding category of finitely generated Iwasawa modules, via the duality map V ↦ V'. In this paper, we define certain tensors on Iwasawa modules, which are intended to play the role of Jacquet modules. We describe some properties of Jacquet tensors and show how they can be applied to the study of principal series representations.

Keywords

p-adic Banach space representations; p-adic groups; Iwasawa modules; Jacquet modules

Hrčak ID:

313639

URI

https://hrcak.srce.hr/313639

Publication date:

24.1.2024.

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