Abstract
In this article we extend a result for representations of the additive group Ga given in [4] 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].
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