This article is cited in 4 papers

Coxeter transformations and spectra of operations

V. A. Kolmykov

Voronezh State University

Abstract: 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.

UDC: 512.543.14+512.643.5+512.817.73

MSC: Primary 05C50; Secondary 05C05

Received: 13.12.2001

DOI: 10.4213/sm635

 English version: Sbornik: Mathematics, 2002, 193:3, 345–357

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