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
Voir la notice de l'article provenant de la source Heldermann Verlag
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},
publisher = {mathdoc},
volume = {24},
number = {3},
year = {2014},
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 PB - mathdoc 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 -
%0 Journal Article %A H. Enomoto %A N. Enomoto %T Sp-Irreducible Components in the Johnson Cokernels of the Mapping Class Groups of Surfaces, I %J Journal of Lie theory %D 2014 %P 687-704 %V 24 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a3/ %F JLT_2014_24_3_JLT_2014_24_3_a3
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/