From the 1 of 4 linked papers with an AI index.
4 papers
Gabi-Monads
Sebastian Halbig, Paolo Saracco, Tony Zorman
The paper develops the theory of gabi‑monads on skew‑closed categories, providing a reconstruction theorem that relates these monads to skew‑closed structures on their Eilenberg–Mo…
Duality in Monoidal Categories
Sebastian Halbig, Tony Zorman
We compare closed and rigid monoidal categories. Closedness is defined by the tensor product having a right adjoint: the internal hom functor. Rigidity, on the other hand, generali…
Irreducible representations of generalised Kac-Paljutkin Hopf algebras
Sebastian Halbig, Christian Lomp
The aim of this note is to provide a self-contained classification of the irreducible representations of generalised Kac--Paljutkin Hopf algebras, recently introduced by the second…
A non-semisimple Kitaev lattice model
Sebastian Halbig, Ulrich Krähmer
The construction of the topologically protected code space of Kitaev's model for fault-tolerant quantum computation is extended from complex semisimple to arbitrary finite-dimensio…