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
Canonical left cells in affine Weyl groups
โ Scribed by George Lusztig; Nanhua Xi
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 231 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
โฆ Synopsis
If s E S is not special, it is still true that Q n Y, is non-empty; however, it may be a union of several left cells.
2. NOTATION AND RECOLLECTIONS
2.1. We refer to [l] for the definition of the basis (C,) of the Hecke algebra of ( W, S) and of the relation y< w on W. We shall write y -w instead of "y < w or w < y.
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