In his paper, ''On Kauffman's knot Invariants Arising from Finite w x Dimensional Hopf Algebras'' R1 , Radford constructed two extensive families of pointed Hopf algebras. The first one, denoted by H , n, q, N, generalizes Sweedler's well known 4-dimensional noncommutative and noncocommutative Hopf
Pointed Hopf algebras acting on quantum polynomials
β Scribed by Vyacheslav A. Artamonov
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 225 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We consider actions of pointed Hopf algebras on general quantum polynomials and their invariants.
π SIMILAR VOLUMES
We propose the following principle to study pointed Hopf algebras, or more generally, Hopf algebras whose coradical is a Hopf subalgebra. Given such a Hopf algebra A, consider its coradical filtration and the associated graded coalgebra gr A. Then gr A is a graded Hopf algebra, since the coradical A
Let A A be a Hopf algebra and β« be a bicovariant first order differential calculus over A A. It is known that there are three possibilities to construct a differential Hopf algebra β« n s β« m rJ that contains β« as its first order part. Corresponding to the three choices of the ideal J, we distinguish