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Lecture
Generators of Groups
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Related lectures (31)
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Generation and Recombination
Explores the fundamental concepts of generation and recombination in semiconductors for photovoltaic devices.
Group Theory: Reducible and Irreducible Representations
Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.
Lie Groups and Lorentz Transformations
Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.
Spherical Hecke Algebra: Irreps and Eigenspaces
Covers the spherical Hecke algebra and finite-dimensional unitary representations.
Density Theorem: Endomorphisms of Simple Modules
Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.
Lemma of Schur: Group Repetition Theory
Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.
Schur's Lemma and Representations
Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.
Isotypic Decomposition
Covers the isotopic decomposition of modules into simple components and their properties.
Ideals and Representations
Covers ideals, representations, modules, and maximal ideals in associative algebras.
Symmetry and Group Theory: Exercise Set 4
Explores symmetry operations, isomorphic representations, and three-dimensional group representations.