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Sbornik: Mathematics, 2002, Volume 193, Issue 3, Pages 345–357
DOI: https://doi.org/10.1070/SM2002v193n03ABEH000635 (Mi sm635) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Coxeter transformations and spectra of operations

V. A. Kolmykov

Voronezh State University
English version PDF (187 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2002v193n03ABEH000635
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.
Received: 13.12.2001
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 3, Pages 37–50
DOI: https://doi.org/10.4213/sm635
Bibliographic databases:
UDC: 512.543.14+512.643.5+512.817.73
MSC: Primary 05C50; Secondary 05C05
Language: English
Original paper language: Russian
Citation: V. A. Kolmykov, “Coxeter transformations and spectra of operations”, Mat. Sb., 193:3 (2002), 37–50; Sb. Math., 193:3 (2002), 345–357
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:459
    Russian version PDF:175
    English version PDF:7
    References:57
    First page:1
     
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