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Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2013

Ambidextrous objects and trace functions for nonsemisimple categories

Résumé

We provide a necessary and sufficient condition for a simple object in a pivotal k-category to be ambidextrous. As a consequence we prove that they exist for factorizable ribbon Hopf algebras, modular representations of finite groups and their quantum doubles, complex and modular Lie (super)algebras, the (1,p) minimal model in conformal field theory, and quantum groups at a root of unity.

Dates et versions

hal-00603999 , version 1 (27-06-2011)

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Nathan Geer, Jonathan Kujawa, Bertrand Patureau-Mirand. Ambidextrous objects and trace functions for nonsemisimple categories. Proceedings of the American Mathematical Society, 2013, pp.141 (2013), 2963--2978. ⟨10.1090/S0002-9939-2013-11563-7⟩. ⟨hal-00603999⟩
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