Determinants: Alternate Forms and Symmetrization

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Covers the definition and properties of multilinear forms, emphasizing linearity and applications in mathematics.

Covers alternating and symmetric multilinear forms in vector spaces over a field.

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

Explores the properties and applications of determinants in linear algebra.

Explores multilinear forms in linear algebra, emphasizing their role in vector space transformations.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Explores multilinear forms in linear algebra, emphasizing their properties and applications.