Browsing by Author "Szechtman, Fernando"
Now showing items 17 of 7

Analysis and Numerical Methods for Algebraic Riccati Equations Associated with Regular MMatrices
Lu, Di (Faculty of Graduate Studies and Research, University of Regina, 201512)The thesis is a further study about algebraic Riccati equations for which the four coe cient matrices form a regular Mmatrix K. We prove a property about minimal nonnegative solutions of such an algebraic Riccati equation ... 
A Classification of Homogeneous Kȁhler Manifolds with Discrete Isotropy and Top Non Vanishing Homology in Codimension Two
Ahmadi, Seyedruhallah (Faculty of Graduate Studies and Research, University of Regina, 201307)Suppose G is a connected complex Lie group and is a discrete subgroup such that X := G= is K ahler and the codimension of the top non{vanishing homology group of X with coe cients in Z2 is less than or equal to ... 
Classification of Subcategories in Abelian Categories and Triangulated Categories
Liu, Yong (Faculty of Graduate Studies and Research, University of Regina, 201609)Two approaches for classifying subcategories of a category are given. We examine the class of Serre subcategories in an abelian category as our first target, using the concepts of monoform objects and the associated atom ... 
The Fundamental Modules of the Classical Lie Algebras
Krimker Fernandez, Gustavo Sergio (Faculty of Graduate Studies and Research, University of Regina, 201202)The main objective of this Thesis is the construction of the fundamental modules of the classical Lie algebras. Weyl’s Theorem shows that if L is a semisimple Lie algebra, then any finite dimensional L−module is a direct ... 
Representations of McLain Groups
Izadi, Mohammadali (Faculty of Graduate Studies and Research, University of Regina, 201606)Basic modules of McLain groups are defined and investigated. These are a (possibly infinite dimensional) generalization of Andre’s basic modules of the multiplicative group of upper triangular square matrices over a ... 
Torsion Units of Integral Group Rings and Scheme Rings
Singh, Gurmail (Faculty of Graduate Studies and Research, University of Regina, 201509)We study torsion units of algebras over the ring of integers Z with nice bases. These include integral group rings, integral adjacency algebras of association schemes and integral Calgebras. Torsion units of group rings ... 
Weyl’s Construction of the Irreducible Regular Representations of the Complex Classical Groups
Chaktoura, Martin Gabriel (Faculty of Graduate Studies and Research, University of Regina, 201406)The main objective of this work is to construct all the regular representations of the complex classical groups. Since each of these groups is reductive, in the sense that every regular module is a direct sum of irreducible ...