Left cells in the Weyl group of type E7


Yu Chen and Jian-yi Shi


Research Report 97-22
To appear in Communications in Algebra
Date: 8 July 1997, revised 1 January 1998


By applying an algorithm, we get a representative set of the left cells and all the left cell graphs for the Weyl group W of type E7. From this, we see that the generalized T-invariants characterize all the non-exceptional left cells of W. We give a criterion to check the relation ~L on the elements in the exceptional left cells of W.

Key phrases

Weyl group. left cell. generalized T-invariants.

AMS Subject Classification (1991)

Primary: 20H55
Secondary: 20H15


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