Sp-Irreducible Components in the Johnson Cokernels of the Mapping Class Groups of Surfaces, I
Journal of Lie theory, Tome 24 (2014) no. 3, pp. 687-704
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.
Classification :
20G05, 57M99
Mots-clés : Mapping class group, Torelli subgroup, Johnson homomorphism, Johnson cokernel, Representations of symplectic groups, Brauer-Schur-Weyl duality, Dynkin-Specht-Wever idempotents
Mots-clés : Mapping class group, Torelli subgroup, Johnson homomorphism, Johnson cokernel, Representations of symplectic groups, Brauer-Schur-Weyl duality, Dynkin-Specht-Wever idempotents
@article{JLT_2014_24_3_JLT_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},
url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a3/}
}
TY - JOUR AU - H. Enomoto AU - N. Enomoto TI - Sp-Irreducible Components in the Johnson Cokernels of the Mapping Class Groups of Surfaces, I JO - Journal of Lie theory PY - 2014 SP - 687 EP - 704 VL - 24 IS - 3 UR - http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a3/ ID - JLT_2014_24_3_JLT_2014_24_3_a3 ER -
H. Enomoto; N. Enomoto. Sp-Irreducible Components in the Johnson Cokernels of the Mapping Class Groups of Surfaces, I. Journal of Lie theory, Tome 24 (2014) no. 3, pp. 687-704. http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a3/