论文标题

Weyl室的圆锥固有体积

Conic intrinsic volumes of Weyl chambers

论文作者

Godland, Thomas, Kabluchko, Zakhar

论文摘要

我们为$ a_ {n-1},b_n $和$ d_n $的Weyl室的圆锥固有卷的公式提供了新的直接证明。这些公式根据第一类及其$ b $ - 和$ d $ -Analogues的Stirling数字表示圆锥固有的量。证明涉及明确确定Weyl腔室面部的内部和外部角度。

We give a new, direct proof of the formulas for the conic intrinsic volumes of the Weyl chambers of types $A_{n-1}, B_n$ and $D_n$. These formulas express the conic intrinsic volumes in terms of the Stirling numbers of the first kind and their $B$- and $D$-analogues. The proof involves an explicit determination of the internal and external angles of the faces of the Weyl chambers.

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