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Tannakian Duality for Affine Homogeneous Spaces

Published online by Cambridge University Press:  20 November 2018

Teodor Banica
Teodor Banica*
Affiliation:
Department of Mathematics, University of Cergy-Pontoise, F-95000 Cergy-Pontoise, France, e-mail : [email protected]
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Abstract

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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.

Keywords

46L6546L89quantum isometrynoncommutative manifold
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 3 , 01 September 2018 , pp. 483 - 494
Copyright
Copyright © Canadian Mathematical Society 2018

References

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