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arXiv · 1303.7311

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

Todor Milev·Petr Somberg
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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 \cite{ms}. In the present article, we employ the recently developed F-method, \cite{KOSS1}, \cite{KOSS2} 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 $\LieGtwo \cap \gop'$-singular vectors for this class of $so(7)$-modules.

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Todor Milev, Petr Somberg. 2013-03-29. The F-method and a branching problem for generalized Verma modules associated to $({\LieGtwo},{so(7)})$. https://arxiv.org/abs/1303.7311

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