The F-method and a branching problem for generalized Verma modules associated to (\LieGtwo,so(7))

2013/03/29 by Milev, Todor, Somberg, Petr
#13C10 #17B10 #22E47 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1303.7311

Abstract

The branching problem for a couple of non-compatible Lie algebras and their parabolic subalgebras applied to generalized Verma modules was recently discussed in \citems. In the present article, we employ the recently developed F-method, \citeKOSS1, \citeKOSS2 to the couple of non-compatible Lie algebras (\LieGtwo,so(7)), and generalized conformal so(7)-Verma modules of scalar type. As a result, we classify the \LieGtwo ∩ \gop'-singular vectors for this class of so(7)-modules.

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