Trivial representation
Okay buddy, so when we talk about representation, we mean how things are shown or expressed. The word "trivial" means something that is really easy or not important. When we put those two words together, "trivial representation" means a really simple and not very important way of showing something.
Now, when we are talking about math and groups, a group is a set of things that can be combined in a certain way. You can think of a group of toys - you can put them together or take them apart in different ways. In math groups, we use symbols like numbers to stand for the different things in the group.
So, a trivial representation of a group means we are using a really simple way of showing how the things in the group can combine. We might just say that each thing is by itself, and doesn't combine with any of the other things in the group. This is a super basic way of showing the group, and it's not very useful for doing math with the group, but it's still a valid representation!
Now, when we are talking about math and groups, a group is a set of things that can be combined in a certain way. You can think of a group of toys - you can put them together or take them apart in different ways. In math groups, we use symbols like numbers to stand for the different things in the group.
So, a trivial representation of a group means we are using a really simple way of showing how the things in the group can combine. We might just say that each thing is by itself, and doesn't combine with any of the other things in the group. This is a super basic way of showing the group, and it's not very useful for doing math with the group, but it's still a valid representation!