Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of typeÃn

Random Walk in an Alcove of an Affine We

Random Walk in an Alcove of an Affine Weyl Group, and Non-colliding Random Walks on an Interval

✍ 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