Traces on module categories over fusion categories

JOURNAL OF ALGEBRA

卷:379

Article

Schaurnann, Gregor

关键词: Quantum algebra;    Fusion categories;    Module categories;    Frobenius algebras;   

DOI  :  10.1016/j.jalgebra.2013.01.013

来源: Elsevier

【 摘 要 】

We consider traces on module categories over pivotal fusion categories which are compatible with the module structure. It is shown that such module traces characterise the Morita classes of special haploid Frobenius algebras. Moreover, they are unique up to a scale factor and they equip the dual category with a pivotal structure. This implies that for each pivotal structure on a fusion category over C there exists a conjugate pivotal structure defined by the canonical module trace. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free