We show that if a Hopf algebra H admits a modular pair in involution then the category of Yetter Drinfeld modules and the category of anti-Yetter-Drinfeld modules are isomorphic.
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Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
Shi, Gui-Qi
Fang, Xiao-Li
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Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Peoples R ChinaZhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
Fang, Xiao-Li
Torrecillas, Blas
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Univ Almeria, Dept Algebra & Anal, Almeria 04071, SpainZhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China