THE LOEWY LENGTH OF THE DESCENT ALGEBRA OF D2m+1.
نویسنده
چکیده
In this article the Loewy length of the descent algebra of D2m+1 is shown to be m + 2, for m ≥ 2, by providing an upper bound that agrees with the lower bound in [Bonnafé and Pfeiffer, 2006]. The bound is obtained by showing that the length of the longest path in the quiver of the descent algebra of D2m+1 is at most m+1. To achieve this bound, the geometric approach to the descent algebra is used, in which the descent algebra of a finite Coxeter group W is identified with an algebra associated to the reflection arrangement of W .
منابع مشابه
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تاریخ انتشار 2008