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arXiv · 2005.06205

Conic intrinsic volumes of Weyl chambers

Thomas Godland·Zakhar Kabluchko
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Abstract

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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Thomas Godland, Zakhar Kabluchko. 2020-05-13. Conic intrinsic volumes of Weyl chambers. https://arxiv.org/abs/2005.06205

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