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Left cells in the weyl group of type 7
Authors:Yu Chen  Jian-Yi Shi
Institution:School of Mathematics and Statistics , The University of Sydney , Sydney, NSW 2006, Australia
Abstract: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 E 7,. From this, we see that the generalized r-invariants characterize all the non-exceptional left cells of W. We give a criterion to check the relation Ltilde] on the elements in the exceptional left cells of W.
Keywords:
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