Smash coproduct and braided groups in braided monoidal category
โ Scribed by Jinqi Li; Yonghua Xu
- Publisher
- SP Science China Press
- Year
- 1997
- Tongue
- English
- Weight
- 405 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A braided group in the sense of Majid [6] is a Hopf algebra B in a braided monoidal category which satisfies a generalized commutativity condition; this condition is expressed with respect to a certain class of B-comodules. The more obvious condition that B be a commutative algebra in the braided ca
We prove that the word problem in the mapping class group of the once-punctured surface of genus g has complexity O(|w| 2 g) for |w| log(g) where |w| is the length of the word in a (standard) set of generators. The corresponding bound in the case of the closed surface is O(|w| 2 g 2 ). We also carry
A new presentation of the n-string braid group B n is studied. Using it, a new solution to the word problem in B n is obtained which retains most of the desirable features of the Garside Thurston solution, and at the same time makes possible certain computational improvements. We also give a related