Geodesic
Branching problems and ${\mathfrak{sl}}(2,\mathbb{C})$-actions
Archivum mathematicum, Tome 51 (2015) no. 5, pp. 331-346.

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We study certain ${\mathfrak{sl}}(2,\mathbb{C})$-actions associated to specific examples of branching of scalar generalized Verma modules for compatible pairs $(\mathfrak{g},\mathfrak{p})$, $(\mathfrak{g}^{\prime },\mathfrak{p}^{\prime })$ of Lie algebras and their parabolic subalgebras.
DOI : 10.5817/AM2015-5-331
Classification : 22E47
Keywords: representation theory of simple Lie algebra; generalized Verma modules; singular vectors and composition series; relative Lie algebra and Dirac cohomology 
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     title = {Branching problems and ${\mathfrak{sl}}(2,\mathbb{C})$-actions},
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Pandžić, Pavle; Somberg, Petr. Branching problems and ${\mathfrak{sl}}(2,\mathbb{C})$-actions. Archivum mathematicum, Tome 51 (2015) no. 5, pp. 331-346. doi : 10.5817/AM2015-5-331. http://geodesic.mathdoc.fr/articles/10.5817/AM2015-5-331/

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