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Let H be a ×-bialgebra in the sense of Takeuchi. We show that if H is ×-Hopf, and if H fulfills the finiteness condition necessary to define its skew dual… Click to show full abstract
Let H be a ×-bialgebra in the sense of Takeuchi. We show that if H is ×-Hopf, and if H fulfills the finiteness condition necessary to define its skew dual H∨, then the coopposite of the latter is ×-Hopf as well. If in addition the coopposite ×-bialgebra of H is ×-Hopf, then the coopposite of the Drinfeld double of H is ×-Hopf, as is the Drinfeld double itself, under an additional finiteness condition.
Keywords:
algebroid hopf;
hopf;
hopf algebroid;
double hopf;
dual double;
hopf algebroids
Journal Title: Applied Categorical Structures
Year Published: 2017
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Journal Title: Applied Categorical Structures
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!