Algebraic group

Okay, kiddo, so an algebraic group is a group of mathematical objects (like numbers or matrices) that behave in certain ways when we use operations on them (like adding or multiplying).

But instead of just being any random group, algebraic groups have a special property where these objects and operations can be described using equations (which are like math sentences that say two things are the same).

This property is useful because it means that we can study algebraic groups using algebra (which is a type of math that uses symbols and rules to manipulate them), and we can use tools from algebra to learn more about how these groups behave.

So basically, an algebraic group is a special type of group that we can study using algebra, and we can use that knowledge to do even more cool math stuff!