Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
3D Rotations and QuaternionsCovers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.
Linear Algebra BasicsCovers the basics of linear algebra, focusing on solving systems of linear equations through operations to triangular form.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
