Tensor Products and Symmetric Power

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Related lectures (28)

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Tensor Products of Modules

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Linear Algebra in Dirac Notation

Covers linear algebra in Dirac notation, focusing on vector spaces and quantum bits.

Group representations constructions

Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Linear Algebra Basics

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

Representation Theory: Algebras and Homomorphisms

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Dirac's Notation, Tensor Product

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Linear Algebra: Lecture Notes

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

Lines Spaces and Equivalent Matrices

Covers the concept of lines spaces and equivalent matrices in linear algebra.

Orthogonality and Projection

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.