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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 289, Pages 277–286 (Mi znsl1608)  
This article is cited in 4 scientific papers (total in 4 papers)

On the sum of roots of a closed set

E. A. Sopkina

Saint-Petersburg State University
Full-text PDF (177 kB) Citations (4)
Abstract: The invariant of closed set which is equal to the sum of roots is introduced. For a closed subset in the root system we describe symmetric and special parts, and its stabilizer in the Weyl group by means of the sum of roots. We define associated bases with respect to which the closed set has the simplest form. All possible values of root sum are determined.
Received: 18.04.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 124, Issue 1, Pages 4832–4836
DOI: https://doi.org/10.1023/B:JOTH.0000042319.81176.99
Bibliographic databases:
UDC: 512.554+512.7+512.8
Language: Russian
Citation: E. A. Sopkina, “On the sum of roots of a closed set”, Problems in the theory of representations of algebras and groups. Part 9, Zap. Nauchn. Sem. POMI, 289, POMI, St. Petersburg, 2002, 277–286; J. Math. Sci. (N. Y.), 124:1 (2004), 4832–4836
Citation in format AMSBIB
\Bibitem{Sop02}
\by E.~A.~Sopkina
\paper On the sum of roots of a closed set
\inbook Problems in the theory of representations of algebras and groups. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 289
\pages 277--286
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1608}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949746}
\zmath{https://zbmath.org/?q=an:1080.17006}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 124
\issue 1
\pages 4832--4836
\crossref{https://doi.org/10.1023/B:JOTH.0000042319.81176.99}
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  • https://www.mathnet.ru/eng/znsl/v289/p277
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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