Group representations constructions

Related lectures (30)

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

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Covers direct sums of abelian groups, group actions, and vector spaces, including coproducts and homomorphisms.

Covers the properties of finite dimensional algebras and non-semisimple representations.

Covers the definition and properties of linear forms in vector spaces, including generating families and direct sums.

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

Introduces the regular representation, a key tool for studying group actions on varieties.

Explains kernel, image, and linear maps, illustrating concepts with examples.

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

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.