File(s) under permanent embargo
On Divided-difference semigroups
The Newtonian divided-difference operators generate the nil-Coxeter algebra and semigroup. A bijective correspondence between the nil-Coxeter semigroup and the symmetric group is used to provide braid-like diagrams for the former, and corresponding Reidemeister-type moves for the relations. Conditions are given for similar relations to hold in a skew group ring. Interesting extensions of the nil-Coxeter semigroup are described and given diagrammatic representations.
History
Publication title
International Journal of Algebra and ComputationVolume
21Issue
1-2Pagination
179-191ISSN
0218-1967Department/School
School of Natural SciencesPublisher
World Scientific Publishing Co. Pte LtdPlace of publication
SingaporeRights statement
Copyright © 2011 World Scientific Publishing Co.Repository Status
- Restricted