The F-method and a branching problem for generalized Verma modules associated to $({\LieGtwo},{so(7)})$
Representation Theory
2014-03-20 v3 Analysis of PDEs
Differential Geometry
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 , and generalized conformal -Verma modules of scalar type. As a result, we classify the -singular vectors for this class of -modules.
Keywords
Cite
@article{arxiv.1303.7311,
title = {The F-method and a branching problem for generalized Verma modules associated to $({\LieGtwo},{so(7)})$},
author = {Todor Milev and Petr Somberg},
journal= {arXiv preprint arXiv:1303.7311},
year = {2014}
}