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
On the structure of commutative pointed Hopf algebras
β Scribed by David E Radford
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 717 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We give a structure theorem for pointed Hopf algebras of dimension p 3 , having coradical kC , where k is an algebraically closed field of characteristic zero. p Combining this with previous results, we obtain the complete classification of all pointed Hopf algebras of dimension p 3 .
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 TrΓ°S 2 Γ for a weak Hopf