مجموعات المصفوفات والتمثيلات الخطية

Matrix Groups and Linear Representations (also offered as MATH 5P66 ) Abelian groups, permutation groups, rotation groups. Representations of discrete and continuous groups by linear transformations (matrices). General properties and constructions of group representations. Representations of specific groups. Lie groups and Lie algebras. Applications in various areas of Mathematics, including invariant theory and group algebras, and Theoretical Physics, including crystallography and and symmetries in quantum systems. #