Krimker Fernandez, Gustavo Sergio(Faculty of Graduate Studies and Research, University of Regina, 2012-02)

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 ...

Ahmadi, Bahman(Faculty of Graduate Studies and Research, University of Regina, 2013-07)

In extremal set theory, the Erd}os-Ko-Rado (EKR) theorem gives an upper bound
on the size of intersecting k-subsets of the set {1; : : : ;n}. Furthemore, it classi es
the maximum-sized families of intersecting k-subsets. ...

Singh, Gurmail(Faculty of Graduate Studies and Research, University of Regina, 2015-09)

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 C-algebras.
Torsion units of group rings ...

Chaktoura, Martin Gabriel(Faculty of Graduate Studies and Research, University of Regina, 2014-06)

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 ...

Alinaghipour Taklimi, Fatemeh(Faculty of Graduate Studies and Research, University of Regina, 2013-08)

For any simple graph G on n vertices, the (positive semi-de nite) minimum rank
of G is de ned to be the smallest possible rank among all (positive semi-de nite) real
symmetric n × n matrices whose entry in position (i; ...