Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order
Seiten
2002
|
2002
Springer Berlin (Verlag)
978-3-540-43799-4 (ISBN)
Springer Berlin (Verlag)
978-3-540-43799-4 (ISBN)
Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.
Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.
Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.
Introduction
- Preliminaries
- Clifford theory
- Examples
- Isomorphisms
- Constructions
- Commutative Yetter-Drinfel'd Hopf algebras
- Cocommutative Yetter-Drinfel'd Hopf algebras
- Semisimple Hopf algebras of dimension p3
- Semisimple Hopf algebras of dimension pq
- Applications
- References
- Subject index
- Symbol index.
| Erscheint lt. Verlag | 9.7.2002 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | VIII, 164 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 254 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Algebra • classification • Gruppe (mathemat.) • Gruppe (Mathematik) • Hardcover, Softcover / Mathematik/Arithmetik, Algebra • HC/Mathematik/Arithmetik, Algebra • Hopf algebra • Radford Biproduct • Yetter-Drinfel'd module • Yetter-Drinfel' d module • Yetter-Drinfel'd module • Yetter-Drinfeld module |
| ISBN-10 | 3-540-43799-1 / 3540437991 |
| ISBN-13 | 978-3-540-43799-4 / 9783540437994 |
| Zustand | Neuware |
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