Jantzen, Chris Degenerate principal series for symplectic and odd-orthogonal groups. (English) Zbl 0866.22016 Mem. Am. Math. Soc. 590, 100 p. (1996). Let \(F\) be a \(p\)-adic field of characteristic \(0\). Let \(G\) be the group \(\operatorname{SO}_{2n+1}(F)\) or \(\operatorname{Sp}_{2n}(F)\). The author determines the composition series for principal series representations obtained by inducing one-dimensional representations from a maximal parabolic subgroup of \(G\). The composition factors are described in terms of their Langlands data. The author shows that the length of the composition series is \(\leq 4\). His methods are based on techniques developed before by Marko Tadić. Reviewer: D.Miličić (Salt Lake City) Cited in 1 ReviewCited in 19 Documents MSC: 22E50 Representations of Lie and linear algebraic groups over local fields Keywords:principal series representations; composition factors; composition series; reductive \(p\)-adic groups PDFBibTeX XMLCite \textit{C. Jantzen}, Degenerate principal series for symplectic and odd-orthogonal groups. Providence, RI: American Mathematical Society (AMS) (1996; Zbl 0866.22016) Full Text: DOI Link