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Journal of Lie Theory 22 (2012), No. 3, 803--816
Copyright Heldermann Verlag 2012

Invariant Theory of Little Adjoint Modules

Dmitri I. Panyushev
Institute for Information Transmission Problems, Russian Academy of Sciences, B. Karetnyi per. 19, Moscow 127994, Russia

Let G be a simple algebraic group. We consider invariant-theoretic properties of the simple G-module whose highest weight is the short dominant root.

Keywords: Root system, adjoint representation, semisimple Lie algebra.

MSC: 14L30, 17B20, 22E46

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