Lectures related to Schur's lemma

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers the application of group representations theory in quantum physics.

Explains Schur's Lemma on unitary representations and their irreducibility and invariance properties.

Explores the application of Schur's Lemmas in physics, emphasizing operator properties and vector actions.

Covers exercises on Schur's lemma and the Jacobi identity in Quantum Field Theory.

Explores Schur Lemmas, group representations, and stability properties in group theory.

Covers Burnside's Lemma, Schur Lemmas, and their proofs in group theory and quantum mechanics.

Delves into symmetry reduction in quantum mechanics using Schur Lemmas, showcasing how group representations simplify system analysis.

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

Covers the isotopic decomposition of modules into simple components and their properties.

Covers Lie algebra, bilinearity, Jacobi identity, and Ado's theorem.

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

Explores Lie groups, translations, and invariance of states under transformations.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers hermitian operators, group multiplication rules, and Casimir operators in quantum mechanics.

Covers completely reducible representations, simple modules, semisimple modules, and G-stable submodules.

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