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arXiv · 1404.4222

On special covariants in the exterior algebra of a simple Lie algebra

Corrado De Concini·Pierluigi Möseneder Frajria·Paolo Papi·Claudio Procesi
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Abstract

We study the subspace of the exterior algebra of a simple complex Lie algebra linearly spanned by the copies of the little adjoint representation or, in the case of the Lie algebra of traceless matrices, by the copies of the n-th symmetric power of the defining representation. As main result we prove that this subspace is a free module over the subalgebra of the exterior algebra generated by all primitive invariants except the one of highest degree.

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Corrado De Concini, Pierluigi Möseneder Frajria, Paolo Papi, Claudio Procesi. 2014-04-16. On special covariants in the exterior algebra of a simple Lie algebra. https://arxiv.org/abs/1404.4222

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