Citing the New Jersey Legislature’s failure in the last session to enact a same-sex marriage law, a coalition of gay rights groups is asking the New Jersey Supreme Court to issue its own mandate.

On Thursday, the Lambda Legal Defense and Education Fund filed a motion in aid of litigants’ rights, saying the Legislature did not adhere to the court’s 2006 order, in Lewis v. Harris , to grant same-sex couples the same rights as married heterosexual ones.