On the representations of Sp(p, q) and SO*(2n) unitarily induced from derived functor modules
On the representations of Sp(p, q) and SO*(2n) unitarily induced from derived functor modules
We obtain a decomposition formula of a representation of Sp(p, q) or SO*(2n) unitarily induced from a derived functor module, which enables us to reduce the problem of irreducible decompositions to the study of derived functor modules. In particular, we show that such an induced representation is decomposed into a …