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arXiv · 1707.04075

On the Brauer constructions and generic Jordan types of Young modules

Yu Jiang·Kay Jin Lim·Jia Lin Wang
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Abstract

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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Yu Jiang, Kay Jin Lim, Jia Lin Wang. 2017-07-13. On the Brauer constructions and generic Jordan types of Young modules. https://arxiv.org/abs/1707.04075

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