For the $p$-Sylow subgroups $G$ of the finite classical groups of untwistedLie type, $p$ an odd prime, we construct a monomial $mathbb C G$-module $M$which is isomorphic to the regular representation of $mathbb C G$ by amodification of Kirillov's orbit method called monomial linearisation. Weclassify a certain subclass of orbits of the action on the monomial basis of$M$ consisting of so called staircase orbits and show, that every orbit modulein $M$ is isomorphic to a staircase one.
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机译：对于$ p $ -sylow子组$ g $ g $ f $ of Untwistedlie类型，$ p $一个奇数素数，我们构建一个单体$ mathbb cg $ -module $ m $，它是常规表示$的常规表示 MathBB CG $通过kirillov的轨道方法，称为单体线性化。 WeClassify对由M $的单项基础进行行动的某种子类，由所谓的楼梯轨道和展示，每个轨道模块都是楼梯上的同构。
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