About: Quasi-Hopf algebra

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A quasi-Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989. A quasi-Hopf algebra is a quasi-bialgebra for which there exist and a bijective antihomomorphism S (antipode) of such that for all and where and where the expansions for the quantities and are given by and As for a quasi-bialgebra, the property of being quasi-Hopf is preserved under twisting.

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  • A quasi-Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989. A quasi-Hopf algebra is a quasi-bialgebra for which there exist and a bijective antihomomorphism S (antipode) of such that for all and where and where the expansions for the quantities and are given by and As for a quasi-bialgebra, the property of being quasi-Hopf is preserved under twisting. (en)
  • En mathématiques, la structure d'algèbre de quasi-Hopf est une généralisation de la structure d'algèbre de Hopf, construite à partir d'une quasi-bialgèbre au lieu d'une bialgèbre. (fr)
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  • A quasi-Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989. A quasi-Hopf algebra is a quasi-bialgebra for which there exist and a bijective antihomomorphism S (antipode) of such that for all and where and where the expansions for the quantities and are given by and As for a quasi-bialgebra, the property of being quasi-Hopf is preserved under twisting. (en)
  • En mathématiques, la structure d'algèbre de quasi-Hopf est une généralisation de la structure d'algèbre de Hopf, construite à partir d'une quasi-bialgèbre au lieu d'une bialgèbre. (fr)
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  • Algèbre de quasi-Hopf (fr)
  • Quasi-Hopf algebra (en)
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