Somber tributes alternated with high-octane performances at the 62nd annual Grammy Awards as music’s biggest stars paid tribute to Kobe Bryant and a new generation of performers racked up their first-ever awards.

Mr. Bryant, who had played for the Los Angeles Lakers, and his 13-year-old daughter died in a helicopter crash Sunday. Fans of the basketball star gathered at the Staples Center in Los Angeles, the site of the Grammys telecast, during which many artists cited the athlete.

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