\(p\)-adic Schrödinger representations of the higher \(p\)-adic Heisenberg groups

DOI10.36045/j.bbms.220912OpenAlexW4385612165MaRDI QIDQ6178476

Bertin Diarra, Tongobé Mounkoro

Publication date: 1 September 2023

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36045/j.bbms.220912

zbMATH Keywords

complete Weyl algebrashigher \(p\)-adic Heisenberg groupsSchrödinger linear representations

Mathematics Subject Classification ID

Representation theory of groups (20C99) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Rings of differential operators (associative algebraic aspects) (16S32)

Cites Work

• An easy proof of the Stone-von Neumann-Mackey theorem
• \(p\)-adic continuously differentiable functions of several variables
• \(p\)-adic numbers: An introduction.
• On linear representations of \(p\)-adic Heisenberg groups
• Exponential laws for ultrametric partially differentiable functions and applications
• Rigid analytic spaces
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