Oscar Peterson

I heard Oscar Peterson describes as a bebop pianist, but I do not think his style of play does justice course, quick as lightning, and he grew up with the likes of Dizzy and Ella, but may also, as the case SWING nobodies. Bebop styles of other pianists like Bud Powell tend to play the notes more "pure", emphasizing speed and flatted fifths.

Is it fair to say Oscar Peterson a pianist in the tradition of bebop? If not, what would you call it?

Your question is excellent, and you have at least two good answers Pianojazz Man and St. Petersburg. Your analysis is also excellent. When I started listening to Peterson years ago, I probably made him the "Bebop" category because of the length and pace of his game over the years of listening (and trying to imitate) I put in a class of his own. I like other pianists for other reasons, but Peterson is Petersonian! While taking nothing away from its influence and Tatum, Oscar Peterson is the most general "linear" expressionist on the instrument, and Bill Evans is perhaps the greatest expressionist harmonically. McCoy Tyner and Dave Brubeck is perhaps the greatest of both. EST (Esbjorn Svensson Trio) is perhaps currently the most inventive expressionistic.

Peterson style encompasses many different reasons styles.No locate a particular name for her game - other than "great"!

I call it the most prominent disciple Art Tatum, which is what he more or less likely to acknowledge in interviews that I read through the years. Since he survived the art of almost half a century, Oscar are more modern language similar in game Tatum, Tatum but these factors do not outweigh the quality of swing to both pianists appeal to those whose tastes are traditional and modern alike.
Oscar has been great, but for my money, Art Tatum was the man for whom Oscar was a torchbearer.