Crystals and Nakajima monomials for quantum generalized Kac-Moody algebras (Q933370)

The authors deal in this paper with a problem which they had already considered and partially solved in a previous work. Indeed, they study a variant of the Frobenius reciprocity for the restricted representation \(\pi\) on \(K\) of a unitary and irreducible representation of a nilpotent connected and simply connected Lie group \(G\), where \(K\) is an analytic subgroup of \(G\). The technique of the proof consists in using an induction procedure descending then to a lower dimensional nilpotent Lie groups. They do hope that that this method could be generalized to encompass larger classes of exponential Lie groups.