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math.QA2026
NIM-representations of Tambara-Yamagami generalizations
Agustina Czenky, Emily McGovern, Melody Molander +2
We compute and classify the irreducible non-negative integer matrix (NIM-)representations of two proposed generalizations of the Tambara-Yamagami fusion ring, as studied by Jordan-…
math.QA2026
A Well-Defined Jellyfish Algorithm for the Affine Subfactor Planar Algebra
Melody Molander
In this paper, we contribute to the Kuperberg program by giving a diagrammatic presentation of generators and relations for the affine unshaded subfactor planar algebra. Usin…
math.QA2024
Skein Theory for Affine A Subfactor Planar Algebras
Melody Molander
The Kuperberg Program asks to find presentations of planar algebras and use these presentations to prove results about their corresponding categories purely diagrammatically. This…