Terry Gannon

Professor, Faculty of Science - Mathematics & Statistical Sciences

Contact

Professor, Faculty of Science - Mathematics & Statistical Sciences
Email
tjgannon@ualberta.ca
Address
579 Central Academic Building
11324 - 89 Ave NW
Edmonton AB
T6G 2G1

Overview

Research

Area

Mathematics Associated with Conformal Theory

Courses

MA PH 364 - Group Theory in Physics

Symmetries in physics; basic concepts of group theory and representation theory; finite groups; continuous groups; orthogonal and unitary groups; Lie groups; spinor representations; Lorentz and Poincare groups. Prerequisite: MATH 225 or MATH 227. Note: Credit can be obtained in at most one of MA PH 364 and MA PH 464.


MATH 127 - Honors Linear Algebra I

Linear equations; Euclidean spaces, matrices. Complex numbers and fields. Vector spaces : basis, dimension, linear transformations. Introductions to groups and rings; permutation groups. Determinants. Eigenvalues and Eigenvectors. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of Math 102, 125 or 127.


MATH 227 - Honors Linear Algebra II

Quotients and direct sums. Cayley-Hamilton. Canonical Forms (diagonal and Jordan). Real and Complex inner product spaces : orthogonality, singular value decomposition. Introduction to abstract algebra : groups, rings, and modules. Homomorphisms. Prerequisite: MATH 127. 127; Students with MATH 102 or 125 require MATH 226 as a co-requisite and consent of the Department. Note: Credit can be obtained in at most one of MATH 225 or 227.


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