Reflection decompositions in the classical Weyl groups
نویسنده
چکیده
In this paper, we present formulas for the number of decompositions of elements of the Weyl groups of type A., D. and B, as products of a number of reflections that is not necessarily minimal. For this purpose, we consider the poset of conjugacy classes of W introduced in B6dard and Goupil (1992) for the symmetric group. This poset describes the action of the set of reflections of a reflection group on its conjugacy classes. In particular, we show how the reflection decompositions in the symmetric group 65. are related to the reflection decompositions in D..
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 137 شماره
صفحات -
تاریخ انتشار 1995