On Cubic Representations of SL(2,Aug(image2Cp)) in Characteristic Two Original Research Article

Let R = Aug(image2Cp) be the augmentation ideal of the group ring image2Cp of the cyclic group Cp of order an odd prime p, α a primitive pth root of unity over image2, F = image2[α], α* an element in R of multiplicative order p, and [formula]. Any F-representations, finite or infinite dimensional, of SL(2, R) where A satisfies (x − α)(x − α−1)(x − 1) = 0, is shown to be equivalent to one into an F-algebra of the form [formula], where image is an F-algebra of dimension at most 6, image is an F-algebra of dimension at most 4, and image, image, are bimodules of dimension at most 4.