Browsing Mathematics (MA) by thesis submitted date"2011"
Now showing items 15 of 5

An Algorithmic Approach To Crystallographic Coxeter Groups
(20130214)Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. It turns out that the finite Coxeter groups are precisely the finite Euclidean reflection ... 
Dilations, Functoinal Model And A Complete Unitary Invariant Of A rcontraction.
(20130802)A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : z 1 ≤1, z 2 ≤1} C2 is a spectral set, is called a rcontraction in the literature. For a contraction P and a bounded commutant ... 
Fourier Analysis On Number Fields And The Global Zeta Functions
(20140804)The study of zeta functions is one of the primary aspects of modern number theory. Hecke was the first to prove that the Dedekind zeta function of any algebraic number field has an analytic continuation over the whole plane ... 
Irreducible Representations Of The Symmetric Group And The General Linear Group
(20130131)Representation theory is the study of abstract algebraic structures by representing their elements as linear transformations or matrices. It provides a bridge between the abstract symbolic mathematics and its explicit ... 
Ricci Flow And Isotropic Curvature
(20140903)This thesis consists of two parts. In the first part, we study certain Ricci flow invariant nonnegative curvature conditions as given by B. Wilking. We begin by proving that any such nonnegative curvature implies nonnegative ...