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math.QA2025
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…
math.QA2025
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…
math.QA2018
A Hopf algebra without modular pair in involution
Sebastian Halbig, Ulrich Kraehmer
The aim of this short note is to communicate an example of a finite-dimensional Hopf algebra that does not admit a modular pair in involution in the sense of Connes and Moscovici.