On the blocks of the walled Brauer algebra
On the blocks of the walled Brauer algebra
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DOI：
10.1016/j.jalgebra.2008.01.026
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发表时间：
2007-09
影响因子：
0.9
通讯作者：
A. Cox;M. Visscher;S. Doty;Paul Martin
中科院分区：
文献类型：
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作者：
A. Cox;M. Visscher;S. Doty;Paul Martin
我们在特征零点处确定了壁布劳尔代数的块。这些可以用a型Weyl群在某一组权值上的作用轨道来描述。在正特征中，我们给出了对应仿射Weyl群轨道的连杆原理。我们还对半单壁Brauer代数的所有特征进行了分类。
We determine the blocks of the walled Brauer algebra in characteristic zero. These can be described in terms of orbits of the action of a Weyl group of type A on a certain set of weights. In positive characteristic we give a linkage principle in terms of orbits of the corresponding affine Weyl group. We also classify the semisimple walled Brauer algebras in all characteristics.