Invariant measures on \(p\)-adic Lie groups: the \(p\)-adic quaternion algebra and the Haar integral on the \(p\)-adic rotation groups

DOI10.1007/S11005-024-01826-8MaRDI QIDQ6571387

Paolo Aniello, Stefano Mancini, Andreas Winter, Author name not available (Why is that?), Sonia L'Innocente, Author name not available (Why is that?)

Publication date: 12 July 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

locally compact groupHaar measurequaternion algebra\(p\)-adic Lie group

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Quaternion and other division algebras: arithmetic, zeta functions (11R52) (p)-adic theory (11E95) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Quadratic forms over local rings and fields (11E08) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

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Related Items (1)

Erratum to: ``Geometry of the \(p\)-adic special orthogonal group \(\mathrm{SO}(3)_p\)

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