20.500.12556/DiRROS-18201 Locally convex bialgebroid of an action Lie groupoid 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 $\mathord{\mathcal{AG}_{\mathit{sp}}}(\mathord{\mathrm{Dirac}}(M\rtimes H))$. action Lie groupoid coalgebra Dirac distribution Hopf algebroid transversal distribution true false true Angleški jezik Ni določen Neznano 2024-02-16 13:37:46 2024-02-16 13:37:47 2024-02-19 13:36:30 0000-00-00 00:00:00 2024 0 0 28 str. iss. 1, article no. 17 Vol. 21 Jan. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-01-01 512 1660-5446 10.1007/s00009-023-02552-6 183763459 https://link.springer.com/article/10.1007/s00009-023-02552-6 1 cf129707-ccbf-11ee-aa6e-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=24718 s00009-023-02552-6.pdf s00009-023-02552-6.pdf 1 323FFDCA81E75CDD0A2EC3AE916826A3 d66cf294107e42cb05237e4e82c66c2d29cc0cc12331e1505e3df4fb9e40fbdd da7f9bde-ccbf-11ee-aa6e-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=24719 Inštitut za matematiko, fiziko in mehaniko 0 0 0