Stable decompositions of certain representations of the finite general linear groups

Wee Liang Gan; John Watterlond

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arXiv · 1605.08434

Stable decompositions of certain representations of the finite general linear groups

Wee Liang Gan·John Watterlond

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Abstract

We prove that the irreducible decomposition of the permutation representation of GL(n,q) on GL(n,q)/GL(n-m,q) stabilizes for large n. We deduce, as a consequence, a representation stability theorem for finitely generated VIC-modules.

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BibTeX RIS

Wee Liang Gan, John Watterlond. 2016-05-26. Stable decompositions of certain representations of the finite general linear groups. https://arxiv.org/abs/1605.08434

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