Charles Doran

Research

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 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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