Representations having vectors fixed by a Levi subgroup associated to a real form

For any semisimple real Lie algebra gR, we classify the representations of gR that have at least one nonzero vector on which the centralizer of a Cartan subspace, also known as the centralizer of a maximal split torus, acts trivially. In the process, we revisit the notion of g-standard Young tableau...

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Détails bibliographiques
Auteur principal: Smilga, I
Format: Journal article
Langue:English
Publié: Elsevier 2021