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arXiv · 1706.03427

Tannakian duality for affine homogeneous spaces

Teodor Banica
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Abstract

Associated to any closed quantum subgroup $G\subset U_N^+$ and any index set $I\subset\{1,\ldots,N\}$ is a certain homogeneous space $X_{G,I}\subset S^{N-1}_{\mathbb C,+}$, called affine homogeneous space. We discuss here the abstract axiomatization of the algebraic manifolds $X\subset S^{N-1}_{\mathbb C,+}$ which can appear in this way, by using Tannakian duality methods.

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Teodor Banica. 2017-06-12. Tannakian duality for affine homogeneous spaces. https://doi.org/10.4153/cmb-2017-084-3

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