A Weyl Group Generating Function That Ought to Be Better Known
نویسنده
چکیده
Let W be a nite Weyl group with root system , simple roots 1 coordinates for the sum of all positive roots, and for w 2 W let`(w) denote the length and D(w) = fi : w ?1 i < 0g the descent set of w. By analyzing the structure of the corresponding aane Weyl group, we prove that P w2W q (w)?`(w) = f Q n i=1 (1 ? q b i)=(1 ? q e i), where (w) = P i2D(w) b i .
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تاریخ انتشار 1996