تقرير
Dilations of partial representations of Hopf algebras
| العنوان: | Dilations of partial representations of Hopf algebras |
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| المؤلفون: | Alves, Marcelo Muniz S., Batista, Eliezer, Vercruysse, Joost |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Rings and Algebras |
| الوصف: | We introduce the notion of a dilation for a partial representation (i.e. a partial module) of a Hopf algebra, which in case the partial representation origins from a partial action (i.e.a partial module algebra) coincides with the enveloping action (or globalization). This construction leads to categorical equivalences between the category of partial $H$-modules, a category of (global) $H$-modules endowed with a projection satisfying a suitable commutation relation and the category of modules over a (global) smash product constructed upon $H$, from which we deduce the structure of a Hopfish algebra on this smash product. These equivalences are used to study the interactions between partial and global representation theory. Comment: 25 pages. Corrected several typos, final version to appear in Journal of the London Mathematical Society |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1112/jlms.12213 |
| URL الوصول: | http://arxiv.org/abs/1802.03037 |
| رقم الأكسشن: | edsarx.1802.03037 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1112/jlms.12213 |
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