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Title:Locally convex bialgebroid of an action Lie groupoid
Authors:ID Kališnik, Jure (Author)
Files:URL URL - Source URL, visit https://link.springer.com/article/10.1007/s00009-023-02552-6
 
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MD5: 323FFDCA81E75CDD0A2EC3AE916826A3
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract:Action Lie groupoids are used to model spaces of orbits of actions of Lie groups on manifolds. For each such action groupoid M⋊H we construct a locally convex bialgebroid Dirac(M⋊H) with an antipode over C∞c(M), from which the groupoid M⋊H can be reconstructed as its spectral action Lie groupoid AGsp(Dirac(M⋊H)).
Keywords:action Lie groupoid, coalgebra, Dirac distribution, Hopf algebroid, transversal distribution
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2024
Year of publishing:2024
Number of pages:28 str.
Numbering:Vol. 21, iss. 1, article no. 17
PID:20.500.12556/DiRROS-18201 New window
UDC:512
ISSN on article:1660-5446
DOI:10.1007/s00009-023-02552-6 New window
COBISS.SI-ID:183763459 New window
Note:
Publication date in DiRROS:16.02.2024
Views:746
Downloads:314
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KALIŠNIK, Jure, 2024, Locally convex bialgebroid of an action Lie groupoid. Mediterranean journal of mathematics [online]. 2024. Vol. 21, no. 1,  17. [Accessed 10 April 2025]. DOI 10.1007/s00009-023-02552-6. Retrieved from: https://dirros.openscience.si/IzpisGradiva.php?lang=eng&id=18201
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Record is a part of a journal

Title:Mediterranean journal of mathematics
Shortened title:Mediterr. j. math.
Publisher:Birkhäuser
ISSN:1660-5446
COBISS.SI-ID:13561433 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Funding programme:Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Project number:J1-1690-2019
Name:p-eliptičnost v harmonični analizi in parcialnih diferencialnih enačbah
Funder:ARRS - Slovenian Research Agency
Funding programme:Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Project number:N1-0137-2020
Name:Nelinearni Valovi in Spektralna Teorija
Funder:ARRS - Slovenian Research Agency
Funding programme:Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Project number:N1-0237-2022
Name:Holomorfne parcialne diferencialne relacije
Funder:ARRS - Slovenian Research Agency
Funding programme:Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Project number:P1-0291-2022
Name:Analiza in geometrija

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

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