ON THE AFFINE WEYL GROUP OF TYPE $\tilde{A}_{n-1}$ II

  • Albar, Muhammad A. (Department of Mathematical Science Kfupm) ;
  • Al-hamed, Maha A. (Department of Mathematical. College of Girls Dammam)
  • Published : 1993.02.01

Abstract

In our paper [4] we showed that over bar $A_{n-1}$ is a split extension of (n-1) copies of Z by the symmetric group S$_{n}$ of degree n. We show in this paper how over bar $A_{n-1}$ appears naturally as a subgroup of the natural wreath product W=ZS$_{n}$.TEX> n/.