https://doi.org/10.1140/epjb/e2002-00280-0
On the invertible objects in tensor categories
Theoretical Physics Division,
Institute for Nuclear Research and Nuclear Energy,
Tsarigradsko Chaussee 72, 1784 Sofia, Bulgaria
Corresponding author: a ganchev@inrne.bas.bg
Received:
1
October
2001
Revised:
12
April
2002
Published online:
2
October
2002
The invertible objects in a tensor category form a subcategory the Grothendieck ring of which is the group ring of an abelian group. This abelian fusion ring acts on the objects of the initial category and one can in principle determine all 6j-symbols that contain the lable of an invertible object.
PACS: 02.20.Uw – Quantum groups
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
