International Journal of Mathematics and Mathematical Sciences

Volume 10 (1987), Issue 1, Pages 147-154

doi:10.1155/S0161171287000188

## On the Affine Weyl group of type A ˜ n − 1

# Muhammad A. Albar

Department of Mathematical Sciences, University of Petroleum and Minerals, Dhahran, Saudi Arabia

Received 4 April 1985; Revised 26 March 1986

Copyright © 1987 Muhammad A. Albar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

We study in this paper the affine Weyl group of type

We prove the following:

THEOREM 1.

THEOREM 2. The group

THEOREM 3. The center of