ELI5: Explain Like I'm 5

Adelic algebraic group

An adelic algebraic group is a group that uses numbers from different places (like the playground, home, grandma's house, etc.) to solve problems. It's like having lots of different tools in your toolbox instead of just one.

For example, let's say we want to solve a math problem that involves adding some numbers. We could use numbers from our own house, like 2 and 3, or numbers from our friend's house, like 4 and 1. We could add them all up using a special tool called a group operation.

But what if we want to solve the same problem, but using numbers from all of the different places we go, like the park, the store, or even a different country? This is where adelic algebraic groups come in.

Instead of just using numbers from one place, adelic algebraic groups can use numbers from lots of different places at the same time. It's like having a super toolbox that can access every tool you need no matter where you are.

Adelic algebraic groups are really important in things like cryptography, which is a way to keep secrets safe using math. They allow us to use lots of different numbers from different places to make our secret codes even harder to crack.

So basically, adelic algebraic groups are a very cool way to use numbers from lots of different places to solve problems and keep secrets safe.
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