%0 Journal Article %T An O(2,n) formulation of invariant theory for elliptic Weyl group %A Ikuo Satake %J Mathematics %D 2007 %I arXiv %X In this paper, we give a new formulation of invariant theory for elliptic Weyl group using the group O(2,n). As an elliptic Weyl group quotient, we define a suitable $\C^*$-bundle. We show that it has a conformal Frobenius structure which we define in this paper. Then its good section could be identified with a Frobenius manifold which we constructed in arXiv:math/0611553. %U http://arxiv.org/abs/0709.1262v1