Tannaka Reconstruction for Crossed Hopf Group Coalgebras

2006/06/01 by Zunino, Marco
#16W30 #57R56 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.math/0606011

Abstract

We provide an analog of Tannaka Theory for Hopf algebras in the context of crossed Hopf group coalgebras introduced by Turaev. Following Street and our previous work on the quantum double of crossed structures, we give a construction, via Tannaka Theory, of the quantum double of crossed Hopf group algebras (not necessarily of finite type).

Related

• Double Construction for Crossed Hopf Coalgebras
• Tannakian QFT: from spark algebras to quantum groups
• Hopf algebras---Variant notions and reconstruction theorems
• The Tannaka-Krein formalism and (re)presentations of universal quantum groups
• Doubles of Quasi-Quantum Groups