"All the world's indeed a stage
—Limelight, from Moving Pictures
Rush is a Canadian Progressive Rock trio formed in 1968, although, listening to some of their songs, you'd never guess there are only three of them. They're probably best known for Geddy Lee's "wait, is that a guy?" vocals and prominent bass and Neil Peart's sometimes Objectivism-inspired lyrics. While the band has always been an album rock (and later classic rock) radio favorite, Rush saw a decent boost to their popularity for their contributions to the video game Rock Band. One of those bands that splits people down the middle - a lot of people don't like Peart's fondness for Ayn Rand, and a lot of people hate Progressive Rock in general. In fairness, it should be noted that Peart does not agree with the whole of Rand's philosophy and removed the "thank you" to her from the credits for 2112 (as of at least the original compact disc issue). When fans ask him about the subject, however, he still acknowledges that he does have areas of agreement with Rand. (However, he characterized himself as a "left-leaning libertarian" in a 2005 interview; one thing Rand certainly was not is left-leaning).
Although most commonly associated with Progressive Rock, their style has varied considerably during their career. Originating with a fairly straightforward Hard Rock/Heavy Metal sound heavily influenced by Deep Purple and Led Zeppelin; they remained such for their first few albums, similarly incorporating fantasy and science-fiction themes into their lyrics, and elaborate arrangements into their instrumentals. They were increasingly influenced by the growing Progressive Rock movement, but maintained a harder-edged sound than most of their contemporaries; and it was at this point that Peart's infatuation with the writings of Ayn Rand became prominent. They soon began to incorporate Jazz, New Wave, Pop, and Reggae influences; and transitioned to a predominantly Synth Rock style. From here, while maintaining some of the Progressive sound; they began moving back into their earlier Hard Rock style, including the release of an album of covers of songs by their earliest Hard Rock influences like The Who, The Yardbirds, and Cream.