50 citations · 124 across the 31 of their papers we have counts for
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Kernels of representations and coideal subalgebras of Hopf algebras
Sebastian Burciu
We define left and right kernels of representations of Hopf algebras. In the case of group algebras, left and right kernels coincide and they are the usual kernels of modules. In t…
On complements and the factorization problem for Hopf algebras
Sebastian Burciu
Two new results concerning complements in a semisimple Hopf algebra are proved. They extend some well known results from group theory. The uniqueness of Krull Schmidt Remak type de…
Categorical Hopf kernels and representations of semisimple Hopf algebras
Sebastian Burciu
In the category of semisimple Hopf algebras the Hopf kernels introduced by Andruskiewitsch and Devoto in \cite{AD} coincide with kernels of representation as introduced in \cite{Bk…
Normal Hopf subalgebras of semisimple Drinfeld doubles
Sebastian Burciu
A description of all normal Hopf subalgebras of a semisimple Drinfeld double is given. This is obtained by considering an analogue of Goursat's lemma concerning fusion subcategorie…