Group representations constructions

Related lectures (30)

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Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Covers the concept of the sum of vector subspaces in an IR-vector space.

Explores endomorphisms, matrix equivalence, and the adjoint map as a group homomorphism.

Covers linear maps, matrices, and applications, including exercises on bases and invertibility.

Generalizes group actions beyond sets, providing a comprehensive framework for various mathematical contexts.

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Explores tensor spaces, unitary representations, and prime factorization in mathematical presentations.

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

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.