𝔫-homology of generic representations for 𝔊𝔏(𝔑)

Abstract

We compute the n \mathfrak {n} -homology for a class of representations of G L ( N , R ) GL(N,\mathbb {R}) and G L ( N , C ) GL(N,\mathbb {C}) which admit a Whittaker model. They are all completely reducible.