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Trudy Moskovskogo Matematicheskogo Obshchestva, 2017, Volume 78, Issue 2, Pages 195–207
(Mi mmo597)
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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
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.
Received: 30.03.2017 Revised: 30.04.2017
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
Linking options:
https://www.mathnet.ru/eng/mmo597 https://www.mathnet.ru/eng/mmo/v78/i2/p195
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Abstract page: | 228 | Full-text PDF : | 46 | References: | 40 | First page: | 10 |
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