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Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Signal RepresentationsCovers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.
Algebra: Fundamental TheoremCovers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.
Algebraic GeometryCovers the fundamentals of algebraic geometry, including algebraic numbers and irreducible polynomials.
Vertex Operator AlgebrasCovers the basics of Vertex Operator Algebras, including normal ordering, fields, and product fields.