Given a group-graded free associative algebra, we show that in many cases the path algebra associated to the covering coming from the grading has a Hopf algebra structure. Our structure on the path algehra is that of a quantum group for most of these constructions. Adding more restrictions, we creat
Basic Hopf algebras and quantum groups
✍ Scribed by E.L. Green; Ø. Solberg
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- French
- Weight
- 365 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
Some finiteness conditions for infinite dimensional coalgebras, particularly right or left semiperfect coalgebras, or co-Frobenius Hopf algebras are studied. As well, examples of co-Frobenius Hopf algebras are constructed via a Hopf algebra structure on an Ore extension of a group algebra, and it is
Let A A be a Hopf algebra and ⌫ be a bicovariant first order differential calculus over A A. It is known that there are three possibilities to construct a differential Hopf algebra ⌫ n s ⌫ m rJ that contains ⌫ as its first order part. Corresponding to the three choices of the ideal J, we distinguish