Lectures related to 3D rotation group

Covers angular momentum in rotations, including preservation of angles and vector products.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Delves into geometric nonlinearity in structural analysis, emphasizing the impact of large rotations on structural response.

Explores irreducible representations of the rotations group and their mathematical properties.

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Covers angular momentum generators, operators, and finite rotations in quantum mechanics.

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

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

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Covers the most general representation of Lorentz group on spinorial fields.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Explores empirical observations, kinetic energy, and constraints in rotations, including the generalization of forces and 3D rotations.

Discusses group rotation, hygiene rules, and set operations in Autumn 2020.

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Explores the deformation of straight beams, calculating deflections and rotations under different load cases.

Covers the preservation of isometry by rotations and symmetries.