Tensor Spaces and Unitary Representations

Related lectures (29)

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Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Explains bases and dimension in vector spaces, covering generative and free families, isomorphism, and key theorems.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.