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In Chapter 2, starting from a generalization of Hensel's Lemma to non-commutative case, we introduce the Brauer characters and the generalized decomposition numbers, and construct a kind of maximal semisimple algebras; then, similarly to Puig's methods, we prove Brauer's Second Main Theorem over arbitrary fields; applying it to blocks with nilpotent coefficient extensions, a formula on characters of such blocks is given; the formula of characters of nilpotent blocks is just an easy consequence of the fomula.

在第二章中,我们将Hensel的引理推广到非交换的情况,以此为起点,定义了Brauer特征标和广义分解数,构造了一类极大的半单的代数,类似于Puig的方法,给出了任意域上Brauer的第二主要定理;作为该定理的应用,我们给出了具有幂零系数扩张的块的特征标公式,幂零块的特征标公式只是它的一个简单的推论。

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推荐网络例句

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了

The enrich the peopling of Deng Xiaoping of century great person thought, it is the main component in system of theory of Deng Xiaoping economy, it is a when our country economy builds basic task important facet.

世纪伟人邓小平的富民思想,是邓小平经济理论体系中的重要组成部分,是我国经济建设根本任务的一个重要方面。