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arXiv · 1604.00199

The Nodal Cubic is a Quantum Homogeneous Space

Ulrich Kraehmer·Angela Tabiri
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Abstract

The cusp was recently shown to admit the structure of a quantum homogeneous space, that is, its coordinate ring $B$ can be embedded as a right coideal subalgebra into a Hopf algebra $A$ such that $A$ is faithfully flat as a $B$-module. In the present article such a Hopf algebra $A$ is constructed for the coordinate ring $B$ of the nodal cubic, thus further motivating the question which affine varieties are quantum homogeneous spaces.

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Ulrich Kraehmer, Angela Tabiri. 2016-04-01. The Nodal Cubic is a Quantum Homogeneous Space. https://arxiv.org/abs/1604.00199

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