Hopf modules in the braided monoidal category $_LM$

Suppose that L is a quasitriangular weak Hopf algebra with a bijective antipode and H is a weak Hopf algebra in the braided nonoidal category LM. We prove that t...

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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

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spelling	doaj-1d508128285f40edab4be648ce3bfb9e2020-11-25T02:43:33ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982011-06-016617990777Hopf modules in the braided monoidal category $_LM$Yin YanminZhang Mingchuan<!-- 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 <sub><em>L</em></sub>M. We prove that the fundamental theorem for right <em>H</em>-Hopf modules in <sub><em>L</em></sub>M. Our results in this paper generalize previous fundamental theorem for Hopf module on the Hopf algebras and weak Hopf algebras.</p>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/840Weak Hopf algebraHopf moduleFundamental theorem.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yin Yanmin Zhang Mingchuan
spellingShingle	Yin Yanmin Zhang Mingchuan Hopf modules in the braided monoidal category $_LM$ Le Matematiche Weak Hopf algebra Hopf module Fundamental theorem.
author_facet	Yin Yanmin Zhang Mingchuan
author_sort	Yin Yanmin
title	Hopf modules in the braided monoidal category $_LM$
title_short	Hopf modules in the braided monoidal category $_LM$
title_full	Hopf modules in the braided monoidal category $_LM$
title_fullStr	Hopf modules in the braided monoidal category $_LM$
title_full_unstemmed	Hopf modules in the braided monoidal category $_LM$
title_sort	hopf modules in the braided monoidal category $_lm$
publisher	Università degli Studi di Catania
series	Le Matematiche
issn	0373-3505 2037-5298
publishDate	2011-06-01
description	<!-- 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 <sub><em>L</em></sub>M. We prove that the fundamental theorem for right <em>H</em>-Hopf modules in <sub><em>L</em></sub>M. Our results in this paper generalize previous fundamental theorem for Hopf module on the Hopf algebras and weak Hopf algebras.</p>
topic	Weak Hopf algebra Hopf module Fundamental theorem.
url	http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/840
work_keys_str_mv	AT yinyanmin hopfmodulesinthebraidedmonoidalcategorylm AT zhangmingchuan hopfmodulesinthebraidedmonoidalcategorylm
_version_	1724768519916093440

Hopf modules in the braided monoidal category $_LM$

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