Journal of Lie Theory 24 (2014), No. 3, 687--704
Copyright Heldermann Verlag 2014
Sp-Irreducible Components in the Johnson Cokernels of the Mapping Class Groups of Surfaces, I
Hikoe Enomoto
Graduate School of Economics, Waseda University, Tokyo 169-8050, Japan
eno3632w@ruri.waseda.jp
Naoya Enomoto
Nara Womens University, Japan
enomoto@cc.nara-wu.ac.jp
In a forthcoming article Naoya Enomoto and Takao Satoh ["New series in the Johnson cokernels of the mapping class groups of surfaces", to appear in Algebraic and Geometric Topology] introduced a new class in the Johnson cokernels for the mapping class groups of surfaces, and detected a series of Sp-irreducible components [14m+1] (m ≥ 1) in this class. In this paper, we detect another series [λ] in this class for some hook type partitions λ.
Keywords: Mapping class group, Torelli subgroup, Johnson homomorphism, Johnson cokernel, Representations of symplectic groups, Brauer-Schur-Weyl duality, Dynkin-Specht-Wever idempotents.
MSC: 20G05, 57M99
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