İki boyutlu lıe cebirleri üzerindeki katlama polinomlarının katsayıları

Let g be a Lie algebra over a field F, and let h be a Cartan subalgebra of g. The dual space h∗ of h forms a root system. Reflections in the hyperplanes orthogonal to the simple roots of h∗ generate the Weyl group of g. If h is the generalized cosine function associated with the Weyl group of g, then for a nonnegative integer k, the generalized Chebyshev polynomial associated with g is defined by Pkg(h(x)) = h(kx). In this thesis, general formulae for PkB2 and PkG2 will be found and some algebraic properties of the coefficients of generalized Chebyshev polynomials attached to Lie algebras of rank two will be investigated.