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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 349, Pages 150–173 (Mi znsl57)  
This article is cited in 14 scientific papers (total in 14 papers)

Involutions in $S_n$ and associated coadjoint orbits

A. N. Panov

Samara State University
Full-text PDF (288 kB) Citations (14)
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Abstract: In the paper we study the coadjoint orbits of the group $\mathrm{UT}(n,K)$ associated with involutions. We obtain a formula for dimension of the orbit. We construct a polarization for the canonical element of the orbit. We find a system of generators in the defining ideal of the orbit.
Received: 25.09.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 3, Pages 3018–3031
DOI: https://doi.org/10.1007/s10958-008-9016-4
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: A. N. Panov, “Involutions in $S_n$ and associated coadjoint orbits”, Problems in the theory of representations of algebras and groups. Part 16, Zap. Nauchn. Sem. POMI, 349, POMI, St. Petersburg, 2007, 150–173; J. Math. Sci. (N. Y.), 151:3 (2008), 3018–3031
Citation in format AMSBIB
\Bibitem{Pan07}
\by A.~N.~Panov
\paper Involutions in $S_n$ and associated coadjoint orbits
\inbook Problems in the theory of representations of algebras and groups. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 349
\pages 150--173
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl57}
\elib{https://elibrary.ru/item.asp?id=13077206}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 151
\issue 3
\pages 3018--3031
\crossref{https://doi.org/10.1007/s10958-008-9016-4}
\elib{https://elibrary.ru/item.asp?id=13591364}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249089416}
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  • https://www.mathnet.ru/eng/znsl/v349/p150
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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