Components of Springer fibers associated to closed orbits for the symmetric pairs (Sp(2n),Sp(2p)×Sp(2q)) and (SO(2n),GL(n)) I

摘要: Abstract This is the second of two articles that consider pairs complex reductive groups ( G , K ) = Sp 2 n p × q and SO GL components Springer fibers associated to closed K-orbits in flag variety G. In first an algorithm given compute any discrete series representation R ⁎ concretely describe corresponding component a fiber. These results are used here cycles representations. For each Harish-Chandra cell containing representation, particular identified for which structure sufficiently simple multiplicity cycle can be calculated. Coherent continuation then applied all representations such cell.