The killing form of a hopf algebra and its radical
Joint Authors
Wang, Zhihua
Chen, Huixiang
Li, Libin
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 33, Issue 2C(s) (31 Dec. 2008), pp.553-559, 7 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2008-12-31
Country of Publication
Saudi Arabia
No. of Pages
7
Main Subjects
Abstract AR
نعرف في هذا البحث صيغة Killing لأي من جبريات Hopf محدودة البعد المعرفة على حقل K ذي مميز 0، و نبحث خصائصها الأساس.
ثم ندرس جذر صيغة Killing لبعض جبريات Hopf، و نعطي مقياسا للجبريات الزمرية التي لها صيغ Killing غير منحلة.
أخيرا، نثبت أن صيغة Killing لأي جبرية Hopf لا تتغير تحت اللي، مما يمدنا بطريقة لبناء جبريات Hopf جديدة لها صيغ Killing غير منحلة عن طريق لي بعض الزمر.
Abstract EN
In this paper, we define the Killing form for any finite dimensional Hopf algebras over a field k of characteristic 0, and investigate its fundamental properties.
Then we discuss the radical of the Killing form of some Hopf algebras, and give a criterion for a group algebra admitting non-degenerate Killing form.
Finally, we prove that the Killing form of a Hopf algebra is invariant under twisting, providing a way to construct new Hopf algebras with non-degenerate Killing form by twisting some groups.
American Psychological Association (APA)
Wang, Zhihua& Chen, Huixiang& Li, Libin. 2008. The killing form of a hopf algebra and its radical. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 33, no. 2C(s), pp.553-559.
https://search.emarefa.net/detail/BIM-359198
Modern Language Association (MLA)
Wang, Zhihua…[et al.]. The killing form of a hopf algebra and its radical. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 33, no. 2C(s) (Dec. 2008), pp.553-559.
https://search.emarefa.net/detail/BIM-359198
American Medical Association (AMA)
Wang, Zhihua& Chen, Huixiang& Li, Libin. The killing form of a hopf algebra and its radical. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2008. Vol. 33, no. 2C(s), pp.553-559.
https://search.emarefa.net/detail/BIM-359198
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 559
Record ID
BIM-359198