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arXiv · 2508.06648

Hopf 2-cocycles of type $A_2$

José Ignacio Sánchez
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Abstract

We compute the Hopf 2-cocycles involved in the classification of pointed Hopf algebras of diagonal type $A_2$. When the quantum Serre relations are deformed, we characterize those cocycles that can be recovered from Hochschild cohomology, via exponentiation. We identify some hypotheses that allow us to present general formulas that apply in our setting.

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BibTeXRIS

José Ignacio Sánchez. 2025-08-08. Hopf 2-cocycles of type $A_2$. https://arxiv.org/abs/2508.06648

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