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

H. Enomoto; N. Enomoto

doi:10.5802/jolt.801

H. Enomoto; N. Enomoto

Journal of Lie Theory, Volume 24 (2014) no. 3, pp. 687-704

Abstract

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 [1^4m+1] (m ≥ 1) in this class. In this paper, we detect another series [λ] in this class for some hook type partitions λ.

Zbl

DOI: 10.5802/jolt.801

Classification: 20G05, 57M99
Keywords: Mapping class group, Torelli subgroup, Johnson homomorphism, Johnson cokernel, Representations of symplectic groups, Brauer-Schur-Weyl duality, Dynkin-Specht-Wever idempotents

@article{JOLT_2014_24_3_a3,
     author = {H. Enomoto and N. Enomoto},
     title = {Sp-Irreducible {Components} in the {Johnson} {Cokernels} of the {Mapping} {Class} {Groups} of {Surfaces,} {I}},
     journal = {Journal of Lie Theory},
     pages = {687--704},
     year = {2014},
     volume = {24},
     number = {3},
     doi = {10.5802/jolt.801},
     zbl = {1353.20031},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.801/}
}

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H. Enomoto; N. Enomoto. Sp-Irreducible Components in the Johnson Cokernels of the Mapping Class Groups of Surfaces, I. Journal of Lie Theory, Volume 24 (2014) no. 3, pp. 687-704. doi: 10.5802/jolt.801

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