THE F-METHOD AND A BRANCHING PROBLEM FOR GENERALIZED VERMA MODULES ASSOCIATED TO (Lie G2, so(7))
نویسندگان
چکیده
The branching problem for a couple of non-compatible Lie algebras and their parabolic subalgebras applied to generalized Verma modules was recently discussed in [15]. In the present article, we employ the recently developed F-method, [10], [11] to the couple of non-compatible Lie algebras Lie G2 i ↪→ so(7), and generalized conformal so(7)-Verma modules of scalar type. As a result, we classify the i(Lie G2) ∩ p-singular vectors for this class of so(7)-modules.
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