Lola is the sister of Oscar, the main character in The Brief and Wondrous Life of Oscar Wao. Lola is Oscar's older sister and, as such, she is very protective of him. This behavior is a stark contrast to the way she interacts with other characters in the story, including the minor character of her ex-boyfriend, Max.
At the beginning of the narrative, Lola announces that she broke up with her boyfriend Max at the same time that she chose to drop out of school. Although she does not go into detail about the breakup, it is the beginning of a self-destructive period for her character. Soon after the breakup, she sleeps with the father of one of her classmates for $2,000. Lola's conflicted feelings about Max become evident after his death. Max is killed in a jaywalking accident and Lola gives the $2,000 to his family to help them after the loss.
Despite his relatively minor role in the story, Lola's relationship with Max gives the reader significant insight into her character. When Lola breaks down on a plane after Max's death, her facade of strength is momentarily broken, revealing the vulnerability underneath.