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- W2113432528 abstract "In this article we extend a result for representations of the additive group Ga given in [4 Suslin , A. , Friedlander , E. M. , Bendel , C. P. ( 1997 ). Infinitesimal 1-parameter subgroups and cohomology . Journal of the AMS 10 ( 3 ): 693 – 728 .[Web of Science ®] , [Google Scholar]] to the Heisenberg group H1. Namely, if p is greater than 2d, then all d-dimensional characteristic p representations for H1 can be factored into commuting products of representations, with each factor arising from a representation of the Lie algebra of H1, and conversely any commuting collection of Lie algebra representations gives rise to a representation of H1 in this fashion. In this sense, for a fixed dimension and large enough p, all representations for H1 look generically like representations for direct powers of it over a field of characteristic zero. The following originally appeared as Chapter 13 of the author's dissertation [1 Crumley , M. ( 2010 ). Ultraproducts of Tannakian Categories and Generic Representation Theory of Unipotent Algebraic Groups. Ph.D. dissertation, The University of Toledo, Department of Mathematics . [Google Scholar]]." @default.
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- W2113432528 date "2013-08-03" @default.
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- W2113432528 title "Generic Representation Theory of the Heisenberg Group" @default.
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