Journal of Lie Theory 26 (2016), No. 3, 807--819
Copyright Heldermann Verlag 2016
Examples of Leading Term Cycles of Harish-Chandra 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 Harish-Chandra 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: Harish-Chandra module, symplectic group, characteristic cycle.
MSC: 22E46
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