关于Young模的Brauer构造和泛Jordan型
On the Brauer constructions and generic Jordan types of Young modules
摘要：
设p为素数。研究了对称群的p-子群的Young置换模和Young置换模的Brauer构造的维数。它们只依赖于划分标记的模和轨道的作用的p-子群，并涉及到他们的通用约旦型。我们得到了一些约化公式，并在两部分分拆的情况下，进行了一些显式计算。
英文摘要：
Let p be a prime number. We study the dimensions of Brauer constructions of Young and Young permutation modules with respect to p-subgroups of the symmetric groups. They depend only on partitions labelling the modules and the orbits of the action of the p-subgroups, and are related to their generic Jordan types. We obtain some reductive formulae and, in the case of two-part partitions, make some explicit calculation.
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