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math.QA2023
Explicit representations and Azumaya loci of skein algebras of small surfaces
Tao Yu
We construct finite dimensional representations of the Kauffman bracket skein algebra of the one-punctured torus and four-punctured sphere at all roots of unity. The representation…
math.QA2023
Center of the stated skein algebra
Tao Yu
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…