50 citations · 124 across the 31 of their papers we have counts for
4 papers · 1 filter
On subgroup depth
Sebastian Burciu, Lars Kadison, Burkhard Kuelshammer
We define a notion of depth for an inclusion of multimatrix algebras B < A based on a comparison of powers of the induction-restriction table M (and its transpose matrix). This not…
Fusion rings arising from normal Hopf subalgebras
Sebastian Burciu, Vicentiu Pasol
For any normal commutative Hopf subalgebra of a semisimple Hopf algebra we describe the ring inside obtained by the restriction of -modules. If this ring d…
Clifford theory for cocentral extensions
S. Burciu
The classical Clifford correspondence for normal subgroups is considered in the more general setting of semisimple Hopf algebras. We prove that this correspondence still holds if t…
Subgroups of depth three and more
Sebastian Burciu, Lars Kadison
A subalgebra pair of semisimple complex algebras B < A with inclusion matrix M is depth two if MM^t M < nM for some positive integer n and all corresponding entries. If A and B are…