Lectures related to Symmetry in Modern Geometry

Covers the preservation of isometry by rotations and symmetries.

Covers symmetry operations in materials science, including rotations and helical axes.

Covers the fundamental concepts of symmetry and group theory.

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Covers the basis for irreducible representations and characters of direct product representations.

Explores fundamental theorems and practical applications of modern symmetry theory, including decorative motifs and linear pattern extensions.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.