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.
Weyl group. left cell. generalized T-invariants.
AMS Subject Classification (1991)
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