I am looking for literature where I can find how the longest Element of the Weyl group looks like for $G=GL(n,K)$ over the diagonal matrices in $G$. I don't even need a proof. But I have no idea where to find it. Would be great, if somebody can help me :)
2025-01-14 12:06:33.1736856393
Literature for the longest Element of the Weylgroup for $GL(n,K)$.
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You can find an explicit formula in https://mathoverflow.net/questions/54926/longest-element-of-weyl-groups (in the question itself). The answers give some more general results on other types.