Memoirs of the American Mathematical Society 1996; 100 pp; softcover Volume: 124 ISBN10: 0821804820 ISBN13: 9780821804827 List Price: US$44 Individual Members: US$26.40 Institutional Members: US$35.20 Order Code: MEMO/124/590
 This memoir studies reducibility in a certain class of induced representations for \(Sp_{2n}(F)\) and \(SO_{2n+1}(F)\), where \(F\) is \(p\)adic. In particular, it is concerned with representations obtained by inducing a onedimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadić, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors. Readership Graduate students and research mathematicians interested in topological groups, Lie groups. Table of Contents  Introduction
 Notation and preliminaries
 Components: useful special cases
 Reducibility points
 Components: the "ramified" case
 Components: the "unramified" case
 Composition series
 References
