Twisted homology for the mirabolic nilradical

The notion of derivatives for smooth representations of GL(n, ℚp) was defined in [BZ77]. In the archimedean case, an analog of the highest derivative was defined for irreducible unitary representations in [Sah89] and called the “adduced” representation. In [AGS] derivatives of all orders were defined for smooth admissible Fréchet representations (of moderate growth).