Browsing by Subject "Polynomials"
Now showing items 1-5 of 5
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An Equivalence Between the Polytabloid Bases and Specht Polynomials For Irreducible Representations of the Symmetric Group
(2017-04-18)The purpose of this study was to study Young tableaus, which are combinatorial objects useful in the study of representation theory of symmetric groups, using mathematical theory. -
Inductive Bases for the Symmetric Group Acting on Polynomial Spaces
(2011-05)This study investigates the the use of inductive bases for the symmetric group acting on polynomial spaces. -
Polynomial Equations over Matices.
(2009-04)If we are given an n-th degree polynomial over the complex numbers, we know that it has exactly n solutions. However, this is not true for an n-th degree polynomial over matrices. The difference in the two cases is that ... -
Solutions of Polynomials over Matrices
(2010-04)If we are given an Nth degree polynomial over the complex numbers, we know that it has exactly n solutions. However, this is not true for an Nth degree polynomial over matrices. The reason lies in the many differences ... -
Use of 4-D Diagrams to Solve Equations
(2011-05)This study investigates the use of 4-D diagrams to determine the number of solutions obtained with polynomial equations over matrices.