Browsing Faculty of Graduate Studies and Research by Author "Herman, Allen"

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Browsing Faculty of Graduate Studies and Research by Author "Herman, Allen"

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  • 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. ...
  • 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; ...

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