New series in the Johnson cokernels of the mapping class groups of surfaces
New series in the Johnson cokernels of the mapping class groups of surfaces
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DOI：
10.2140/agt.2014.14.627
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发表时间：
2010-12
期刊：
影响因子：
--
通讯作者：
Naoya Enomoto;T. Satoh
中科院分区：
文献类型：
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作者：
Naoya Enomoto;T. Satoh
在本文中，我们研究了曲面映射类群的约翰逊同态核的Sp模结构。我们检测 cokernel 中具有最高权重 [1^k]（和 [k]）的 Sp 不可约分量。我们还证明它们的重数等于一。
In the present paper, we study the Sp-module structure of the cokernel of the Johnson homomorphism of the mapping class groups of surfaces. We detect the Sp-irreducible components with highest weight [1^k] (and [k]) in the cokernel. We also show that the multiplicities of them is equal to one.