Homological integral of Hopf algebras

• Autores: Di-Ming Lu, Q.-S. Wu, James J. Zhang
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 10, 2007, págs. 4945-4975
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04159-1
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• Resumen

  • The left and right homological integrals are introduced for a large class of infinite dimensional Hopf algebras. Using the homological integrals we prove a version of Maschke's theorem for infinite dimensional Hopf algebras. The generalization of Maschke's theorem and homological integrals are the keys to studying noetherian regular Hopf algebras of Gelfand-Kirillov dimension one.