Hopfish algebras

• Autores: Xiang Tang, Alan Weinstein, Chenchang Zhu
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 231, Nº 1, 2007, págs. 193-216
• Idioma: inglés
• DOI: 10.2140/pjm.2007.231.193
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• Resumen

  • We introduce a notion of "hopfish algebra" structure on an associative algebra, allowing the structure morphisms (coproduct, counit, antipode) to be bimodules rather than algebra homomorphisms. We prove that quasi-Hopf algebras are hopfish algebras. We find that a hopfish structure on the algebra of functions on a finite set G is closely related to a ¿hypergroupoid¿ structure on G. The Morita theory of hopfish algebras is also discussed.