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Left Cells in the Weyl Group of Type E8

✍ Scribed by Yu Chen

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
222 KB
Volume
231
Category
Article
ISSN
0021-8693

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✦ Synopsis

The aim of the present paper is to give an explicit description for all the left cells of the Weyl group W of type E 8 . We first find a representative set for the left cells of W and then use it to describe these cells. Our results show that most of the left cells in W can be characterized by their generalized Ο„-invariants alone. Then the remaining ones (which are called exceptional left cells) are characterized by the generalized Ο„-invariants together with the a-values.

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