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Liberation theory for noncommutative homogeneous spaces
[Théorie de liberation pour les espaces homogènes non commutatifs]
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 1, pp. 127-156.

On étudie le problème de liberation, dans le cadre des espaces homogènes. Notre première série de résultats concerne l’axiomatisation et la classification des familles de groupes quantiques compacts G=(G N ) qui sont « uniformes », dans un sens convenable. On étudie ensuite les espaces quotient du type X=(G M ×G N )/(G L ×G M-L ×G N-L ), et l’opération de liberation pour ces espaces, avec des résultats de nature algébrique et probabiliste.

We discuss the liberation question, in the homogeneous space setting. Our first series of results concerns the axiomatization and classification of the families of compact quantum groups G=(G N ) which are “uniform”, in a suitable sense. We study then the quotient spaces of type X=(G M ×G N )/(G L ×G M-L ×G N-L ), and the liberation operation for them, with a number of algebraic and probabilistic results.

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Accepté le :
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DOI : https://doi.org/10.5802/afst.1527
Classification : 46L65,  46L54
Mots clés : Liberation theory, Homogeneous space
     author = {Teodor Banica},
     title = {Liberation theory for noncommutative homogeneous spaces},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {127--156},
     publisher = {Universit\'e Paul Sabatier, Toulouse},
     volume = {Ser. 6, 26},
     number = {1},
     year = {2017},
     doi = {10.5802/afst.1527},
     language = {en},
     url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1527/}
Teodor Banica. Liberation theory for noncommutative homogeneous spaces. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 1, pp. 127-156. doi : 10.5802/afst.1527. https://afst.centre-mersenne.org/articles/10.5802/afst.1527/

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