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Note on a Theorem of Eng

Annals of Combinatorics, 2002
Let \((W,S)\) be a finite Coxeter system, \(J\) a subset of \(S\), \(W^J\) the distinguished left coset representatives for the parabolic subgroup \(W_J\) in \(W\), and \(w_0\) the longest element of \(W\). \textit{O. D. Eng} [J. Algebr. Comb. 13, No.1, 29-40 (2001; Zbl 1021.20031)], proved the following theorem. \[ [\sum_{w\in W^J}q^{l(w)}]_{q=-1}=\#\{
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[Kirche Enge Hochformat]

1893
[Robert Breitinger]
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[Armenhaus Enge]

1897
Auf der Rückseite unten rechts Vermerk in roter Tinte: "4093" (Bildnummer der Visitenkarte). Gemäss dem Verzeichnis Breitingers wurde die Fotografie vermutlich am 27.
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Enge

J ...
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