Lecture

Characters: Linear Algebraic Groups

Description

This lecture introduces characters as regular group homomorphisms from a linear algebraic group to a multiplicative group. Characters can be multiplied, added, and inverted, forming a group of regular functions. Examples include characters of the additive group, multiplicative group, and n-dimensional torus. The lecture also explores the character group's linear independence and the induced homomorphism between character groups of linear algebraic groups.

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