Did snopes lie about kagan representing obama?

Yes, she denied the petitions by Louis Lutz, Jerome Julius Brown, and Gary William Holt.

In other cases such as Djamel Ameziane, Petitioner- Kagan was already on the Supreme Court, and took no part in the decision, but it created a tie vote since it required a majority to hear the case again Obama. So basically, even though she had no say in the matter it was a yes vote to deny the petitions filed.