In the paper, a formula for multiplicities of certain representations of unipotent groups over finite fields is obtained in terms of coadjoint orbits. Bibliography 7 titles. According to A. A. Kirillov's orbit method, there exists a one-to-one correspondence between the irreducible representations of an arbitrary connected, simply connected Lie group and its coadjoint orbits. This correspondence between orbits and representations enables one to solve problems in representation theory in terms of coadjoint orbits. Beginning in 1962, the orbit method has initiated many papers. It turns out that the ideas of the orbit method are useful for large classes of Lie groups, and also for some matrix groups defined over a finite field.
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机译：在本文中，根据共伴轨道，得到了有限域上单能组某些表示的多重表示的公式。参考书目7个标题。根据A. A. Kirillov的轨道方法，在任意连接的，简单连接的Lie群的不可约表示与它的共伴轨道之间存在一对一的对应关系。轨道与表示之间的这种对应关系使人们能够解决共伴轨道方面的表示理论问题。从1962年开始，轨道法已发表了许多论文。事实证明，轨道方法的思想对于大型Lie群类以及在有限域上定义的某些矩阵群很有用。
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