Tannakian Duality for Affine Homogeneous Spaces
Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 483-494

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Associated with any closed quantum subgroup $G\,\subset \,U_{N}^{+}$ and any index set $I\,\subset \,\{1,\,.\,.\,.\,,\,N\}$ is a certain homogeneous space ${{X}_{G,I}}\subset S_{\mathbb{C},+}^{N-1},$ called an affine homogeneous space. Using Tannakian duality methods, we discuss the abstract axiomatization of the algebraic manifolds $X\subset S_{\mathbb{C},+}^{N-1}$ that can appear in this way.
DOI : 10.4153/CMB-2017-084-3
Mots-clés : 46L65, 46L89, quantum isometry, noncommutative manifold
Banica, Teodor. Tannakian Duality for Affine Homogeneous Spaces. Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 483-494. doi: 10.4153/CMB-2017-084-3
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     author = {Banica, Teodor},
     title = {Tannakian {Duality} for {Affine} {Homogeneous} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {483--494},
     year = {2018},
     volume = {61},
     number = {3},
     doi = {10.4153/CMB-2017-084-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-084-3/}
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