Generic representations of the finite general linear groups and the Steenrod algebra: II |
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Authors: | Nicholas J Kuhn |
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Institution: | (1) Department of Mathematics, University of Virginia, 22903 Charlottesville, VA, USA |
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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. |
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Keywords: | General linear groups Topological Hochschild Homology Steenrod algebra |
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