Sp-Irreducible Components in the Johnson Cokernels of the Mapping Class Groups of Surfaces, I

作者：Enomoto Hikoe^*; Enomoto Naoya

来源：Journal of Lie Theory, 2014, 24(3): 687-704.

• Mapping class group
• Torelli subgroup
• Johnson homomorphism
• Johnson cokernel
• Representations of symplectic groups
• Brauer-Schur-Weyl duality
• Dynkin-Specht-Wever idempotents

In "N. Enomoto and T. Satoh, New series in the Johnson cokernels of the mapping class groups of surfaces, to appear in Algebraic and Geometric Topology," the second author and Takao Satoh introduced a new class in the Johnson cokernels for the mapping class groups of surfaces, and detected a series of Sp-irreducible components [1(4m+1)] (m >= 1) in this class. In this paper, we detect another series [lambda] in this class for some hook type partitions lambda.

• 出版日期2014