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Physical Sciences and Mathematics Commons

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Mathematics

Brigham Young University

Noninvertible polynomials

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Full-Text Articles in Physical Sciences and Mathematics

Transpose Symmetry Groups Of Noninvertible Polynomials, Nathan Cordner, Dr. Tyler Jarvis Mar 2015

Transpose Symmetry Groups Of Noninvertible Polynomials, Nathan Cordner, Dr. Tyler Jarvis

Journal of Undergraduate Research

Introduction Mirror symmetry is an area of mathematical research that stems from theoretical physics, particularly from string theory. Solutions of problems in mirror symmetry yield not only interesting mathematical results, but also have important theoretical implications for high energy particle physics.


Transposing Noninvertible Polynomials, Nathan Cordner Jul 2014

Transposing Noninvertible Polynomials, Nathan Cordner

Library Research Grants

In the class of invertible polynomials, the notion of dual polynomials W and WT, as well as dual groups G and GT is well-understood. In this paper we investigate finding dual pairs W and WT for noninvertible polynomials. We find that in many instances, our intuition that stems from invertible polynomials does not extend to the noninvertible case.