Tensor Spaces and Unitary Representations

Related lectures (29)

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Delves into the Rank Theorem's implications for linear transformations and mappings.

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.

Covers groups, rings, number theory, atomic bonds, and materials structure, setting the foundation for further exploration.

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Covers the concept of changing bases in linear algebra, emphasizing the importance of understanding the process for various situations.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Explores Lorentz invariance, tensors in vector spaces, and electromagnetic potentials.

Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.

Covers the basics of finite fields, including arithmetic operations and properties.

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.