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Abstract: Quantum bialgebras derivable from Uqsl2 which contain idempotents and vonNeumann regular Cartan-like generators are introduced and investigated. Varioustypes of antipodes invertible and von Neumann regular on these bialgebras areconstructed, which leads to a Hopf algebra structure and a von Neumann-Hopfalgebra structure, respectively. For them, explicit forms of some particularR-matrices also, invertible and von Neumann regular are presented, and thelatter respects the Pierce decomposition.



Author: Steven Duplij Institute of Theoretical Physics, Cologne University, Sergey Sinel'shchikov Institute for Low Temperature Phys

Source: https://arxiv.org/







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