Hopf modules in the braided monoidal category $_LM$

• Main Authors: Yin Yanmin, Zhang Mingchuan
• Format: Article
• Language: English
• Published: Università degli Studi di Catania 2011-06-01
• Series: Le Matematiche
• Subjects: Weak Hopf algebra; Hopf module; Fundamental theorem.
• Online Access: http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/840
• ISSN: 0373-3505; 2037-5298

<!-- p { margin-bottom: 0.21cm; } --> <p>Suppose that <em>L</em> is a quasitriangular weak Hopf algebra with a bijective antipode and <em>H</em> is a weak Hopf algebra in the braided nonoidal category _<em>L</em>M. We prove that the fundamental theorem for right <em>H</em>-Hopf modules in _<em>L</em>M. Our results in this paper generalize previous fundamental theorem for Hopf module on the Hopf algebras and weak Hopf algebras.</p>