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Cells in Affine Weyl Groups and Tensor Categories

✍ Scribed by G. Lusztig

Book ID
118768034
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
363 KB
Volume
129
Category
Article
ISSN
0001-8708

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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 instea

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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