The F-method and a branching problem for generalized Verma modules associated to (,so(7))
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 ms. In the present article, we employ the recently developed F-method, KOSS1, KOSS2 to the couple of non-compatible Lie algebras (,so(7)), and generalized conformal so(7)-Verma modules of scalar type. As a result, we classify the '-singular vectors for this class of so(7)-modules.
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