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math.QA2023
On bicrossed modules of Hopf algebras
Xiao Han
We use Hopf algebroids to formulate a notion of a noncommutative and non-cocommutative Hopf 2-algebra. We show how these arise from a bicrossproduct Hopf algebra with Peiffer ident…
math.QA2023
Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids
Xiao Han
We construct Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids as a generalization of the theory for Hopf algebras. More precisely, we show that the categories of Hopf…