Аннотация:
We classify the finite-dimensional rational representations V of the
exceptional algebraic groups G with g=LieG such that the symmetric
invariants of the semi-direct product g⋉V, where V is an Abelian
ideal, form a polynomial ring.
Ключевые слова и фразы:index of Lie algebra, coadjoint representation, symmetric invariants.
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".
Поступила в редакцию: 30.03.2017 Исправленный вариант: 30.04.2017
Образец цитирования:
D. I. Panyushev, O. S. Yakimova, “Symmetric invariants related to representations of exceptional simple
groups”, Тр. ММО, 78, no. 2, МЦНМО, М., 2017, 195–207; Trans. Moscow Math. Soc., 78 (2017), 161–170