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arXiv · 1212.4330

Nichols algebras with many cubic relations

I. Heckenberger·A. Lochmann·L. Vendramin
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Abstract

Nichols algebras of group type with many cubic relations are classified under a technical assumption on the structure of Hurwitz orbits of the third power of the underlying indecomposable rack. All such Nichols algebras are finite-dimensional and their Hilbert series have a factorization into quantum integers. Also, all known finite-dimensional elementary Nichols algebras of group type turn out to have many cubic relations. The technical assumption of our theorem can be removed if a conjecture in the theory of cellular automata can be proven.

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BibTeXRIS

I. Heckenberger, A. Lochmann, L. Vendramin. 2012-12-18. Nichols algebras with many cubic relations. https://doi.org/10.1090/s0002-9947-2015-06231-x

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