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arXiv · 2611.00632

Completing the classification of Hopf superalgebras of dimension up to 10

Taiki Shibata·Kenichi Shimizu·Ryota Wakao
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Abstract

We introduce a family of semisimple Hopf superalgebras obtained from abelian extensions. Using this family and bosonization, we complete the classification of Hopf superalgebras of dimension up to 10 over an algebraically closed field of characteristic zero. We also determine the duals of the semisimple classes with nonzero odd part and give tables of the complete classification.

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Taiki Shibata, Kenichi Shimizu, Ryota Wakao. 2026-10-31. Completing the classification of Hopf superalgebras of dimension up to 10. https://arxiv.org/abs/2611.00632

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