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On Generalized Cells in Affine Weyl Groups

โœ Scribed by Kirsten Bremke

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
386 KB
Volume
191
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We determine the lowest generalized two-sided cell for affine Weyl groups. We < < show that it consists of at most W generalized left cells, where W denotes the 0 0 corresponding finite Weyl group. For parameters coming from graph automorphisms, we prove that this bound is exact. For such parameters, we also characterize all generalized left cells for finite and affine Weyl groups.

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