Date of Award
Open Access Thesis
In this thesis we examine symplectic spaces with forms generated by the ADEdiagrams. Specifically, we determine the generators of the group of transvections for each space under the standard basis, S, of Kn (where K is a field with characteristic 0) and the hyperbolic basis, H, we get from the classification theorem of symplectic spaces. Further, we examine how the generators of these groups are related via g : Gf,S ! SL(Z)n where g(X) = P−1XP where P is the change of basis matrix for S to H.
Jones, M.(2014). On the Group of Transvections of ADE-Diagrams. (Master's thesis). Retrieved from https://scholarcommons.sc.edu/etd/2842