Left cells in the affine Weyl group of type C~4


Jian-yi Shi


Research Report 97-21
Date: 12 July 1996, revised 2 May 1997


We find a representative set of left cells of the affine Weyl group Wa of type C~4 as well as its left cell graphs by applying an algorithm. This algorithm was designed in my previous paper [22]. It is reformulated and improved in more efficient form here. These representatives of left cells are presented as the vertices of so called essential graphs so that the generalized T-invariants of left cells of Wa are actually described explicitly, the latter almost characterize the left cells of Wa. Some comments and conjectures are proposed on cells of affine Weyl groups, mostly for the case of type C~m, m>1.

Key phrases

affine Weyl group. left cell. left cell graph. generalized T-invariants.

AMS Subject Classification (1991)

Primary: 20H55
Secondary: 20H15


The paper is available in the following forms:
TeX dvi format:
1997-21.dvi.gz (52kB) or 1997-21.dvi (249kB)

1997-21.ps.gz (108kB) or 1997-21.ps (365kB)

To minimize network load, please choose the smaller gzipped .gz form if and only if your browser client supports it.

Sydney Mathematics and Statistics