Representation Theory: Actions and Invariants

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

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

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

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

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

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Explores representations of C3v symmetry, character tables, Mulliken symbols, and group theory applications in eigenfunctions.