Some remarks on representations of \(p\)-adic Chevalley groups (Q1254628)

Let \(F\) be a \(p\)-adic field, with integers \(\mathcal O\) and maximal ideal \(p\), and let \(G\) be Chevalley group over \(\mathbb Z\). The paper under review is concerned with finding integrable representations of \(G(F)\). Let \(\pi\) be an irreducible representation of \(G(\mathcal O)\) which is not trivial on \(G(p)\); the author gives a sufficient condition for \(\operatorname{Ind}_{G(\mathcal O)\rightarrow G(F)} \pi\) to be irreducible and square integrable.