| Title: | Locally convex bialgebroid of an action Lie groupoid |
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| Authors: | ID Kališnik, Jure (Author) |
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| Files: |  URL - Source URL, visit https://link.springer.com/article/10.1007/s00009-023-02552-6
 PDF - Presentation file, download (491,64 KB)
MD5: 323FFDCA81E75CDD0A2EC3AE916826A3
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | Action Lie groupoids are used to model spaces of orbits of actions of Lie groups on manifolds. For each such action groupoid $M\rtimes H$ we construct a locally convex bialgebroid $\mathord{\mathrm{Dirac}}(M\rtimes H)$ with an antipode over $\mathord{\mathcal{C}^{\infty}_{c}}(M)$, from which the groupoid $M\rtimes H$ can be reconstructed as its spectral action Lie groupoid $\mathord{\mathcal{AG}_{\mathit{sp}}}(\mathord{\mathrm{Dirac}}(M\rtimes H))$. |
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| Keywords: | action Lie groupoid, coalgebra, Dirac distribution, Hopf algebroid, transversal distribution |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | 28 str. |
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| Numbering: | Vol. 21, iss. 1, article no. 17 |
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| PID: | 20.500.12556/DiRROS-18201  |
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| UDC: | 512 |
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| ISSN on article: | 1660-5446 |
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| DOI: | 10.1007/s00009-023-02552-6 |
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| COBISS.SI-ID: | 183763459 |
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| Note: |
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| Publication date in DiRROS: | 16.02.2024 |
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| Views: | 541 |
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| Downloads: | 231 |
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| Metadata: |    |
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