Vertex Operator Algebras

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Covers the course evaluation results and an algebraic explanation of employment rate growth.

Covers the construction and universal properties of pushouts in group theory.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Explores dimension theory in topological spaces and closed subsets, including height interpretation and additivity.

Explores Lie groups, scalar fields, and vector spaces transformations.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores geometric examples related to linear applications in algebra.

Covers geometric sequences and recurrence systems to find sequence terms and patterns.

Explores optimization problems in algebra and trinomial equations, focusing on maximizing area with fixed perimeters.

Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.