Homogeneous Spaces

Related lectures (32)

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

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

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

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

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

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Covers the definition and examples of topological groups, focusing on actions of groups on spaces.

Covers the concept of 2D rotations and their analytical expressions.

Covers the effect of the Earth's rotation on ballistics and projectile trajectories.

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