NEW : Sen. Schumer says Kennedy is ` ` clearly interested , '' one of 12 candidates . Kennedy 's interest in the race could mean the continuation of a political legacy . `` I do n't have any plans to do that right now , '' she said . Gov . David Paterson can appoint replacement who will face special election in 2018 . Kennedy is the daughter of former President John F. Kennedy .
NEW : Sen. Schumer says Kennedy is ` ` clearly interested , '' one of 12 candidates . Kennedy 's interest in the race could mean the continuation of a political legacy . Gov . David Paterson can appoint replacement who will face special election in 2018 . Kennedy is the daughter of former President John F. Kennedy .