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arXiv · 2309.14713

Center of the stated skein algebra

Tao Yu
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Abstract

The stated skein algebra is a generalization of the Kauffman bracket skein algebra introduced in the study of quantum trace maps. When the quantum parameter is a root of unity, the stated skein algebra has a big center and is finitely generated as a module over the center. We give the center a simple description and calculate the dimension over center of the stated skein algebra.

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Tao Yu. 2023-09-26. Center of the stated skein algebra. https://arxiv.org/abs/2309.14713

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