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arXiv · 2610.36632

Non-degeneracy of Hopf triplets

Tomoro Mochida
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Abstract

We study the relationship between semisimplicity and non-degeneracy for finite-dimensional Hopf triplets over a field of characteristic zero. The non-degeneracy condition appears in the construction of \(4\)-manifold invariants from Hopf triplets, and it was not known whether non-semisimple examples satisfying this condition exist. We prove that a Hopf triplet is non-degenerate if and only if it is semisimple.

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Tomoro Mochida. 2026-10-27. Non-degeneracy of Hopf triplets. https://arxiv.org/abs/2610.36632

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