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Left Cells in the Affine Weyl Group of TypeF̃4

✍ Scribed by Jian-yi Shi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
451 KB
Volume
200
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

Left Cells in the Affine Weyl Group of T
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✍ Jian-yi Shi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 434 KB

We find a representative set of left cells of the affine Weyl group W of type C a 4

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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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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

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✍ David J. Grabiner 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 159 KB

We use a reflection argument, introduced by Gessel and Zeilberger, to count the number of k-step walks between two points which stay within a chamber of a Weyl group. We apply this technique to walks in the alcoves of the classical affine Weyl groups. In all cases, we get determinant formulas for th