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Generic representations of the finite general linear groups and the Steenrod algebra: II
Authors:Nicholas J Kuhn
Institution:(1) Department of Mathematics, University of Virginia, 22903 Charlottesville, VA, USA
Abstract:The category of generic representations over the finite fieldF q , used in PartI to study modules over the Steenrod algebra, is here related to the modular representation theory of the groups GL n (F q ). This leads to a simple and elegant approach to the classic objects of study: irreducible representations, extensions of modules, homology stability, etc. Connections to current research in algebraicK-theory involving stableK-theory and Topological Hochschild Homology are also explained.Partially funded by the NSF.
Keywords:General linear groups  Topological Hochschild Homology  Steenrod algebra
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