Nilpotent extensions of blocks
Nilpotent extensions of blocks
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DOI：
10.1007/s00209-010-0718-1
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发表时间：
2010-04
影响因子：
0.8
通讯作者：
L. Puig
中科院分区：
文献类型：
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作者：
L. Puig
存在幂零块的正规子块，它们不是幂零的，或者等价地，非幂零块的幂零扩展。在本文中，我们确定了这些情况下所涉及的非幂零块的源代数结构。实际上，我们引入了一种新类型的块-称为惯性块-它包括幂零块，并通过采取正常的子块关闭。
There are normal sub-blocks of nilpotent blocks which are NOT nilpotent or, equivalently, nilpotent extensions of non-nilpotent blocks. In this paper we determine the source algebra structure of the non-nilpotent blocks involved in these situations. Actually, we introduce a new type of blocks - called the inertial blocks - which include the nilpotent blocks and is closed by taking normal sub-blocks.