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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

Naoya Enomoto
Nara Womens University, Japan

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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