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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 443, Pages 9–23 (Mi znsl6253)  
This article is cited in 1 scientific paper (total in 1 paper)

Cubic forms on adjoint representations of exceptional groups

M. M. Atamanova, A. Yu. Luzgarev

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (226 kB) Citations (1) English version article
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Abstract: We construct cubic forms on adjoint representation of the Chevalley group of type $\mathsf E_7$, whose partial derivatives are linear combinations of equations on the orbit of the highest weight vector. In order to describe the forms we introduce new combinatorial notions related to maximal squares in root systems of exceptional types.
Key words and phrases: Chevalley groups, exceptional groups, multilinear invariants, root systems.
Funding agency Grant number
Russian Science Foundation 14-11-00297
Received: 30.11.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 222, Issue 4, Pages 370–379
DOI: https://doi.org/10.1007/s10958-017-3307-6
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: M. M. Atamanova, A. Yu. Luzgarev, “Cubic forms on adjoint representations of exceptional groups”, Problems in the theory of representations of algebras and groups. Part 29, Zap. Nauchn. Sem. POMI, 443, POMI, St. Petersburg, 2016, 9–23; J. Math. Sci. (N. Y.), 222:4 (2017), 370–379
Citation in format AMSBIB
\Bibitem{AtaLuz16}
\by M.~M.~Atamanova, A.~Yu.~Luzgarev
\paper Cubic forms on adjoint representations of exceptional groups
\inbook Problems in the theory of representations of algebras and groups. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 443
\pages 9--23
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6253}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3507761}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 222
\issue 4
\pages 370--379
\crossref{https://doi.org/10.1007/s10958-017-3307-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014794475}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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