University Of Tasmania
Browse
divdiff03.pdf (332.55 kB)

On divided-difference semigroups

Download (332.55 kB)
journal contribution
posted on 2023-05-26, 10:24 authored by FitzGerald, DG
The Newtonian divided-di¤erence 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 Computation

Volume

21

Issue

1

Article number

1-2'

Number

1-2'

Pagination

179-191

ISSN

0218-1967

Publication status

  • Submitted

Rights statement

Author version dated December 21, 2009--Preprint of an article submitted for consideration in International Journal of Algebra and Computation Copyright 2009 World Scientific Publishing Company

Repository Status

  • Open

Usage metrics

    University Of Tasmania

    Categories

    No categories selected

    Exports