Degenerate principal series and Langlands classification

Abstract

We determine the Langlands data of a certain irreducible subquotient of the degenerate principal series representation of a metaplectic or a quasisplit even unitary group. The subquotient occurs as a local component of an automorphic representation generated by a certain holomorphic cusp form.

On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms

“…where A n (µ E τχ−1 , µ −nω(n+1)/2 ) is defined in Definition 5.6. By Corollary 5.4 of [37] (cf. Remark 5.5 of [37]) it factors to yield the intertwining map…”