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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 386, Pages 203–226 (Mi znsl3912)  

This article is cited in 2 scientific papers (total in 2 papers)

Big and small elements in Chevalley groups

N. L. Gordeeva, E. W. Ellersb

a Russian State Pedagogical University, St. Petersburg, Russia
b Department of Mathematics, University of Toronto, Toronto, Ontario, Canada
Full-text PDF (658 kB) Citations (2)
References:
Abstract: Let $\widetilde G$ be a reductive algebraic group which is defined and split over a field $K$. Here we consider the Zariski open subset $\mathfrak B$ of the group $\widetilde G$ which consists of elements such that their conjugacy classes intersect the Big Bruhat Cell. In particular, we give a description of the set $\mathfrak B(K)$ in the case $\widetilde G=\mathrm{GL}_n,\mathrm{SL}_n$. Bibl. 16 titles.
Key words and phrases: reductive algebraic group, Chevalley group, conjugacy class, Big Bruhat Cell.
Received: 09.11.2010
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 180, Issue 3, Pages 315–329
DOI: https://doi.org/10.1007/s10958-011-0645-7
Bibliographic databases:
Document Type: Article
UDC: 512.743+512.643.8
Language: English
Citation: N. L. Gordeev, E. W. Ellers, “Big and small elements in Chevalley groups”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 203–226; J. Math. Sci. (N. Y.), 180:3 (2012), 315–329
Citation in format AMSBIB
\Bibitem{GorEll11}
\by N.~L.~Gordeev, E.~W.~Ellers
\paper Big and small elements in Chevalley groups
\inbook Problems in the theory of representations of algebras and groups. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 386
\pages 203--226
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3912}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 180
\issue 3
\pages 315--329
\crossref{https://doi.org/10.1007/s10958-011-0645-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855669113}
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  • https://www.mathnet.ru/eng/znsl/v386/p203
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :80
    References:42
     
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