A diagrammatic approach to HOPF monads
Author
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 33, Issue 2C(s) (31 Dec. 2008), pp.561-585, 25 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2008-12-31
Country of Publication
Saudi Arabia
No. of Pages
25
Main Subjects
Topics
Abstract AR
إذا أعطينا جبرية Hopf في فئة شبه زمرية متماثلة ذات ثنويات، فإن فئة المعايير ترث بناء فئة شبه زمرية ذات ثنويات.
و قد بين Bruguières و Virelizier متى ترث فئة المعايير هذا البناء (أي كونها فئة شبه زمرية ذات ثنويات)، إذا استبدلت الجبرية بموناد في فئة شبه زمرية ذات ثنويات.
أدى هذا إلى ظهور مفهوم موناد Hopf.
نبرهن في هذا البحث أن هناك أوصافا بيانية جيدة لتحويلات ثنائية الطبيعة تسمح للإنشاءات ثلاثية الأبعاد ذات الطبيعة الخالية من الأجسام بالظهور.
Abstract EN
Given a Hopf algebra in a symmetric monoidal category with duals, the category of modules inherits the structure of a monoidal category with duals.
If the notion of algebra is replaced with that of monad on a monoidal category with duals then Brugui`eres and Virelizier showed when the category of modules inherits this structure of being monoidal with duals, and this gave rise to what they called a Hopf monad.
In this paper it is shown that there are good diagrammatic descriptions of dinatural transformations which allows the three-dimensional, object-free nature of their constructions to become apparent.
American Psychological Association (APA)
Willerton, Simon. 2008. A diagrammatic approach to HOPF monads. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 33, no. 2C(s), pp.561-585.
https://search.emarefa.net/detail/BIM-359214
Modern Language Association (MLA)
Willerton, Simon. A diagrammatic approach to HOPF monads. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 33, no. 2C(s) (Dec. 2008), pp.561-585.
https://search.emarefa.net/detail/BIM-359214
American Medical Association (AMA)
Willerton, Simon. A diagrammatic approach to HOPF monads. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2008. Vol. 33, no. 2C(s), pp.561-585.
https://search.emarefa.net/detail/BIM-359214
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 585
Record ID
BIM-359214