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
On the Structure of the Blob Algebra
β Scribed by Paul P. Martin; David Woodcock
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 245 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Two actions of the Hecke algebra of type A on the corresponding polynomial ring are studied. Both are deformations of the natural action of the symmetric group on polynomials, and keep symmetric functions invariant. We give an explicit description of these actions, and deduce a combinatorial formula
Γ 4 1 1 2 2 3 3 4 4 5 5 Ε½ ΓΓ 4 as clusters, and of composition of partitions ab s Q. β£ , β£ , β£ , β£ , 1 2 3 4 Γ 4 Γ 4 Γ 4 4 . Ε½ β£ , β€ , β€ , β€ , β€ , β€ by an appropriate juxtaposition cf. p. 868 5 1 2 3 4 5 w x. of 2 . We define the elements of S , Γβ£ , β€ 4 n Γ 4 Γ 4 Γ 4 Γ 4