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Zap. Nauchn. Sem. POMI, 2010, Volume 375, Pages 22–31 (Mi znsl3605)  

This article is cited in 4 scientific papers (total in 4 papers)

Some more exceptional numerology

N. A. Vavilov

Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: In the present paper, we supply some additional details concerning parametrisation of the senior Weyl orbit of equations on the highest weight orbit in the adjoint representations of Chevalley groups of types $\mathrm E_7$ and $\mathrm E_8$, as given in my paper “Numerology of square equations”. Bibl. – 25 titles.

Key words and phrases: Chevalley groups, exceptional groups, root systems, highest weight orbit.

Full text: PDF file (578 kB)
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English version:
Journal of Mathematical Sciences (New York), 2010, 171:3, 317–321

Document Type: Article
UDC: 513.6
Received: 09.03.2010

Citation: N. A. Vavilov, “Some more exceptional numerology”, Problems in the theory of representations of algebras and groups. Part 19, Zap. Nauchn. Sem. POMI, 375, POMI, St. Petersburg, 2010, 22–31; J. Math. Sci. (N. Y.), 171:3 (2010), 317–321

Citation in format AMSBIB
\Bibitem{Vav10}
\by N.~A.~Vavilov
\paper Some more exceptional numerology
\inbook Problems in the theory of representations of algebras and groups. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 375
\pages 22--31
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3605}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 3
\pages 317--321
\crossref{https://doi.org/10.1007/s10958-010-0136-2}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649446040}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. N. A. Vavilov, A. Yu. Luzgarev, “Chevalley group of type $\mathrm E_7$ in the 56-dimensional representation”, J. Math. Sci. (N. Y.), 180:3 (2012), 197–251  mathnet  crossref  mathscinet  mathscinet  zmath  scopus
    2. J. Math. Sci. (N. Y.), 209:6 (2015), 922–934  mathnet  crossref  mathscinet  zmath  scopus
    3. N. A. Vavilov, A. Yu. Luzgarev, “Normaliser of the Chevalley group of type $\mathrm E_7$”, St. Petersburg Math. J., 27:6 (2016), 899–921  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
    4. M. M. Atamanova, A. Yu. Luzgarev, “Cubic forms on adjoint representations of exceptional groups”, J. Math. Sci. (N. Y.), 222:4 (2017), 370–379  mathnet  crossref  mathscinet  zmath  scopus
  • Записки научных семинаров ПОМИ
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