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Matematicheskie Zametki, 2003, Volume 73, Issue 6, Pages 848–852
DOI: https://doi.org/10.4213/mzm232 (Mi mzm232) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Reflections and Three-Dimensionality

V. A. Kolmykov

Voronezh State University
Full-text PDF (171 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm232
Abstract: If the dimension of a linear space is not greater than 3, then the characteristic polynomial of the Coxeter transformation associated with any symmetric matrix is invariant under the natural action of the symmetric group. If the dimensionality is greater than 3, then this statement does not hold. The set of all trees such that the spectrum of their associated Coxeter transformation contains negative one is three-dimensional.
Received: 14.01.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 6, Pages 802–805
DOI: https://doi.org/10.1023/A:1024097729426
Bibliographic databases:
UDC: 512.543.14+512.643.5+512.817.73
Language: Russian
Citation: V. A. Kolmykov, “Reflections and Three-Dimensionality”, Mat. Zametki, 73:6 (2003), 848–852; Math. Notes, 73:6 (2003), 802–805
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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