Multiplicative group

Related lectures (9)

Introduces characters as group homomorphisms from linear algebraic groups to multiplicative groups.

Covers hermitian operators, group multiplication rules, and Casimir operators in quantum mechanics.

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.

Covers linear algebraic groups, including special sets and matrix examples.

Explores polynomial equations in complex numbers, constructibility conditions, roots of unity, and Fermat primes.

Explores Hermite-Minkowski theorems in number fields and ideal classes.

Covers the completion of a field, focusing on algebraic closure and function convergence.

Explores the construction of the free action functor in group theory and category theory, emphasizing group actions and their properties.

Covers multiplicative functions, Dirichlet convolution, and the Mobius function in arithmetic functions.

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