Akashi Seijuurou has a split personality, we'll call the first personality "Boku" and the second personality "Ore".
"Boku" is mainly the personality that was shown in the first few Teiko years and also sometime during the Rakuzan-Seirin game. "Ore" was seen after his one-on-one with Murasakibara until the Rakuzan-Seirin game and also a bit in the Vorpal Swords-Jabberwocks game.
"Boku" is generally more caring until Aomine called Akashi "nagging mother". Honestly, I'd say that "Boku" kind of has an inferiority complex because he seems more humble and he admits in Teiko that everyone was becoming better than him. He also admits that he has a weakness of fearing being left behind (as pointed out by Ore during their mental talks). "Ore" on the other hand, has a superiority complex. He says that people should "lower their head" and that he is "absolute" and he is constantly so sure that he will always win. He calls people by their given name which is not really disrespectful or shows signs of superiority or anything but it's just more respectful to use the last names.
Another clear sign (in the anime) is that "Boku"'s eyes are both red while "Ore"'s eyes ahs the right one red and the left one yellow. It's not very noticeable in the manga. "Boku" also focuses a lot on team play while "Ore" focuses more on winning no matter what. This is why "Boku" can do things like perfect-rhythm-plays and gets not only him but his other teammates into the zone as well while "Ore" gets into the zone by abandoning all hope for his teammates.
There are a lot of differences between the two personalities for the plays he makes. Of the two, it is said that "Boku" is stronger. However, both "Boku" and "Ore" were not strong enough to stop Nash and his Belial Eye and to defeat him, "Ore" had to disappear and transfer his abilities to "Boku" in order for the Emperor Eye to be complete. It's rather sad but... yeah.