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Split extensions of bialgebras

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If you have a question about this talk, please contact Tamara von Glehn.

We discuss a universal characterisation of Hopf algebras among cocommutative bialgebras over an algebraically closed field: a cocommutative bialgebra is a Hopf algebra precisely when every split extension over it admits a join decomposition. We also explain why this result cannot be extended to a non-cocommutative setting. This is joint work with Xabier García Martínez.

This talk is part of the Category Theory Seminar series.

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