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arxiv: 1511.03048 · v1 · pith:WIO3DWNNnew · submitted 2015-11-10 · 🧮 math.RT · math-ph· math.MP

Branching problems and {mathfrak s}{mathfrak l}(2,{mathbb C})-actions

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keywords mathfrakactionsbranchingmathbbalgebrasassociatedcertaincompatible
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We study certain ${\mathfrak s}{\mathfrak l}(2,{\mathbb C})$-actions associated to specific examples of branching of scalar generalized Verma modules for compatible pairs $({\mathfrak g},{\mathfrak p})$, $({\mathfrak g}',{\mathfrak p}')$ of Lie algebras and their parabolic subalgebras.

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