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Trudy Moskovskogo Matematicheskogo Obshchestva, 2017, Volume 78, Issue 2, Pages 195–207 (Mi mmo597)  
This article is cited in 2 scientific papers (total in 2 papers)

Symmetric invariants related to representations of exceptional simple groups

D. I. Panyusheva, O. S. Yakimovab

a Institute for Information Transmission Problems of the R.A.S, Moscow, Russia
b Institut für Mathematik, Friedrich-Schiller-Universität Jena, Jena, Deutschland
Full-text PDF (325 kB) Citations (2)
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Abstract: We classify the finite-dimensional rational representations $V$ of the exceptional algebraic groups $G$ with $\mathfrak g=\mathsf{Lie\,} G$ such that the symmetric invariants of the semi-direct product $\mathfrak g\ltimes V\!$, where $V$ is an Abelian ideal, form a polynomial ring.
Key words and phrases: index of Lie algebra, coadjoint representation, symmetric invariants.
Funding agency Grant number
Russian Science Foundation 14–50–00150
The research of the first author was carried out at the IITP RAS at the expense of the Russian Foundation for Sciences (project №14—50—00150). The second author is partially supported by Graduiertenkolleg GRK 1523 "Quanten- und Gravitationsfelder".
Received: 30.03.2017
Revised: 30.04.2017
English version:
Transactions of the Moscow Mathematical Society, 2017, Volume 78, Pages 161–170
DOI: https://doi.org/10.1090/mosc/261
Bibliographic databases:
Document Type: Article
UDC: 512.815.4, 512.745.2
MSC: 14L30, 17B08, 17B20, 22E46
Language: English
Citation: D. I. Panyushev, O. S. Yakimova, “Symmetric invariants related to representations of exceptional simple groups”, Tr. Mosk. Mat. Obs., 78, no. 2, MCCME, M., 2017, 195–207; Trans. Moscow Math. Soc., 78 (2017), 161–170
Citation in format AMSBIB
\Bibitem{PanYak17}
\by D.~I.~Panyushev, O.~S.~Yakimova
\paper Symmetric invariants related to representations of exceptional simple
groups
\serial Tr. Mosk. Mat. Obs.
\yr 2017
\vol 78
\issue 2
\pages 195--207
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo597}
\elib{https://elibrary.ru/item.asp?id=37045061}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2017
\vol 78
\pages 161--170
\crossref{https://doi.org/10.1090/mosc/261}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85037662940}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Moskovskogo Matematicheskogo Obshchestva
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