Coxeter transformations and spectra of operations
Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 345-357
V. A. Kolmykov. Coxeter transformations and spectra of operations. Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 345-357. http://geodesic.mathdoc.fr/item/SM_2002_193_3_a3/
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Coxeter transformations associated with rigged trees are considered. The number $-1$ plays an exceptional role with respect to the spectra of such trees. Systems of generating elements and operations are found in the sets of all rigged trees containing and not containing $-1$ in the spectrum.

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