Construction of quantized enveloping algebras by cocycle deformation
Author
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 33, Issue 2C(s) (31 Dec. 2008), pp.387-406, 20 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2008-12-31
Country of Publication
Saudi Arabia
No. of Pages
20
Main Subjects
Topics
Abstract AR
باستخدام تشويه الدورة المصاحبة، نبني صفا معينا من جبريات Hopf يحتوي على الجبريات المغلفة المكممة، و نظيراتها المسماة ما قبل جبريات Nichols.
يعمم بناؤها بطريقة ما البناء المعروف بمضاعفات الكم (المعممة)، لكنه يختلف عن الوضع المعروف، حيث أنه يوفر صعوبات تدقيق العلاقات المعقدة التي تعرف مثل هذه التركيبات الجبرية.
Abstract EN
By using cocycle deformation, we construct a certain class of Hopf algebras, containing the quantized enveloping algebras and their analogues, from what we call pre-Nichols algebras.
Our construction generalizes in some sense the known construction by (generalized) quantum doubles, but unlike in the known situation, it saves us from difficulties in checking complicated defining relations.
American Psychological Association (APA)
Masuoka, Akira. 2008. Construction of quantized enveloping algebras by cocycle deformation. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 33, no. 2C(s), pp.387-406.
https://search.emarefa.net/detail/BIM-359139
Modern Language Association (MLA)
Masuoka, Akira. Construction of quantized enveloping algebras by cocycle deformation. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 33, no. 2C(s) (Dec. 2008), pp.387-406.
https://search.emarefa.net/detail/BIM-359139
American Medical Association (AMA)
Masuoka, Akira. Construction of quantized enveloping algebras by cocycle deformation. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2008. Vol. 33, no. 2C(s), pp.387-406.
https://search.emarefa.net/detail/BIM-359139
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 405-406
Record ID
BIM-359139