
Journal of Lie Theory 26 (2016), No. 3, 807819 Copyright Heldermann Verlag 2016 Examples of Leading Term Cycles of HarishChandra Modules Leticia I. Barchini Mathematics Department, Oklahoma State University, Stillwater, OK 74078, U.S.A. leticia@math.okstate.edu Roger Zierau Mathematics Department, Oklahoma State University, Stillwater, OK 74078, U.S.A. zierau@math.okstate.edu Many examples are given of irreducible HarishChandra modules for Sp(n,n), n ≥ 4, having reducible leading term cycles. Examples are also given of irreducibles in category O having reducible associated varieties in type C. Keywords: HarishChandra module, symplectic group, characteristic cycle. MSC: 22E46 [ Fulltextpdf (344 KB)] for subscribers only. 