Each charged particle in the standard model has a corresponding anti-particle that is (as far as we know) identical to it in all ways except the sign of the charge. The electron has the anti-electron, also called the positron. Each kind of quark has a corresponding anti-quark, and these can form an anti-Proton. There are muons and anti-muons, tau and anti-tau, the plus and minus W bosons are each other's anti-particle.

There is nothing mysterious about anti-particles, they have all been observed directly, and they simply have the opposite electrical charge. The one thing we don't understand is why there seems to be so little antimatter in the universe, despite antimatter behaving identically to matter as long as the two don't meet. This could just be a fluke of the matter distribution in the early universe, but it could also indicate that there is a difference we don't know about.

The anti positron is literally the common electron. If you want to learn more about the subject I would recommend wikipedia, it has a lot of information about quantum mechanics.