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Format: PDF Version: 1.4 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 2172 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: EN Outlines: Item: Title: Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups Destination: Doc-Start Children: Item: Title: Abstract Destination: abscnt.2 Item: Title: 1 Introduction Destination: section.1 Children: Item: Title: 2 Basic notions and tools Destination: section.2 Children: Item: Title: 2.1 The Haar measure on a locally compact group and the lifts of Haar integrals Destination: subsection.2.1 Item: Title: 2.2 Lg-Adic Lie groups Destination: subsection.2.2 Item: Title: 2.3 Lg-Adic rotation groups Destination: subsection.2.3 Item: Title: 2.4 Integration on Lg-adic manifolds Destination: subsection.2.4 Item: Title: 3 The Haar measure on Lg-adic Lie groups Destination: section.3 Item: Title: 4 Applications Destination: section.4 Children: Item: Title: 4.1 The Haar measure on Lg Destination: subsection.4.1 Item: Title: 4.2 The quaternion algebra Lg Destination: subsection.4.2 Children: Item: Title: 4.2.1 Case Lg Destination: subsubsection.4.2.1 Item: Title: 4.2.2 Case Lg Destination: subsubsection.4.2.2 Item: Title: 4.3 Relation between Lg-adic quaternions and special orthogonal groups Destination: subsection.4.3 Item: Title: 4.4 The Haar integral on Lg Destination: subsection.4.4 Item: Title: 4.5 The Haar integral on Lg Destination: subsection.4.5 Item: Title: 5 Conclusions Destination: section.5 Item: Title: A The real quaternion algebra and its relations with Lg and Lg Destination: section.1 Children: Item: Title: A.1 The real quaternion algebra Lg Destination: subsection.1.1 Item: Title: A.2 Relations between real quaternions and rotations Destination: subsection.1.2 Item: Title: B Alternative proof of Proposition 4.15 Destination: section.2 Children: Item: Title: Acknowledgements Destination: ackcount.1 Item: Title: References Destination: myseccnt.1 Info: Title: Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups Author: Paolo Aniello Subject: Letters in Mathematical Physics, https://doi.org/10.1007/s11005-024-01826-8 Keywords: Locally compact group; Haar measure; p-adic Lie group; Quaternion algebra Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Wed Jun 05 14:29:31 CEST 2024 ModDate: Mon Jul 01 12:01:29 CEST 2024 ID: 0xc7366bf039bd5616b429b1c0caf6f144, 0x2717f8e74f8b214c8509e72efe255f10 Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: XYUAGS+MSBM7 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: XYUAGS+MSBM7 Flags: Nonsymbolic FontBBox: 32, -179, 745, 704 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: SWLFIU+CMSY8 FontSubset: true FirstChar: 0 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FontBBox: -168, -218, 1000, 935 FontFile3: true Encoding: WinAnsiEncoding XMP: 2024-06-05T17:29:31+05:30 Springer 2024-07-01T15:01:29+05:30 2024-07-01T15:01:29+05:30 Acrobat Distiller 10.1.8 (Windows) Locally compact group; Haar measure; p-adic Lie group; Quaternion algebra application/pdf https://doi.org/10.1007/s11005-024-01826-8 Springer Netherlands Letters in Mathematical Physics, https://doi.org/10.1007/s11005-024-01826-8 Locally compact group Haar measure p-adic Lie group Quaternion algebra Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups Paolo Aniello Sonia L’Innocente Stefano Mancini Vincenzo Parisi Ilaria Svampa Andreas Winter 10.1007/s11005-024-01826-8 2010-04-23 true springer.com springerlink.com https://doi.org/10.1007/s11005-024-01826-8 10.1007/s11005-024-01826-8 1573-0530 114 3 1 59 journal Letters in Mathematical Physics The Author(s) 2010-04-23 true 10.1007/s11005-024-01826-8 noindex springer.com 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