On linear representations of \(p\)-adic Heisenberg groups

DOI10.1134/S2070046622010034zbMath1492.22012OpenAlexW4210987672MaRDI QIDQ2126144

Tongobé Mounkoro, Bertin Diarra

Publication date: 14 April 2022

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046622010034

zbMATH Keywords

Heisenberg grouplinear representationp-adicunital ring

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (1)

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

Cites Work

• Bounded linear operators on ultrametric Hilbert spaces
• The \(p\)-adic quantum plane algebras and quantum Weyl algebra
• \(p\)-adic numbers: An introduction.
• Harmonic analysis on finite Heisenberg groups.
• Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic
• Harmonic Analysis in Phase Space. (AM-122)
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