The main result in this paper states that every strongly graded bialgebra whose component of grade 1 is a finite-dimensional Hopf algebra is itself a Hopf algebra. This fact is used to obtain a group cohomology classification of strongly graded Hopf algebras, with 1-component of finite dimension, fr
✦ LIBER ✦
On the structure of gradedλ-Hopf algebras
✍ Scribed by Jian Hua Sun; Pu Zhang
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 247 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
On the Classification of Strongly Graded
✍
Antonio M. Cegarra
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 113 KB
On the Structure of Weak Hopf Algebras
✍
Dmitri Nikshych
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 252 KB
We study the group of group-like elements of a weak Hopf algebra and derive an analogue of Radford's formula for the fourth power of the antipode S; which implies that the antipode has a finite order modulo, a trivial automorphism. We find a sufficient condition in terms of TrðS 2 Þ for a weak Hopf
On the structure of commutative pointed
✍
David E Radford
📂
Article
📅
1978
🏛
Elsevier Science
🌐
English
⚖ 717 KB
Structure of quasitriangular quasi—hopf
✍
V. G. Drinfel'd
📂
Article
📅
1992
🏛
Springer US
🌐
English
⚖ 257 KB
The Graded Structure of Nondegenerate Me
✍
Jacques Helmstetter; Artibano Micali
📂
Article
📅
2008
🏛
Springer
🌐
English
⚖ 448 KB
On the quasitriangular structures of a s
✍
David E Radford
📂
Article
📅
1991
🏛
Elsevier Science
🌐
English
⚖ 238 KB