The automorphism groups of the vertex operator algebras $V_L^+$: general   case
  In this article, we give a method of calculating the automorphism groups of the vertex operator algebras $V_L^+$ associated with even lattices $L$. For example, by using this method we determine the automorphism groups of $V_L^+$ for even lattices of rank one, two and three, and even unimodular lattices. 
Hiroki Shimakura