论文标题

$ 9 $维代数,这不是有限组的块

A $9$-dimensional algebra which is not a block of a finite group

论文作者

Linckelmann, Markus, Murphy, William

论文摘要

我们排除在代数封闭的字段上排除某个$ 9 $维代数为有限组的基本代数,从而完成了最多12美元的有限组代数的基本维度代数的分类。

We rule out a certain $9$-dimensional algebra over an algebraically closed field to be the basic algebra of a block of a finite group, thereby completing the classification of basic algebras of dimension at most $12$ of blocks of finite group algebras.

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