%0 Journal Article %T Strong Lefschetz property under reduction %A River Chiang %A Eugene Z. Xia %J Mathematics %D 2006 %I arXiv %X Let n>1 and G be the group SU(n) or Sp(n). This paper constructs compact symplectic manifolds whose symplectic quotient under a Hamiltonian G-action does not inherit the strong Lefschetz property. %U http://arxiv.org/abs/math/0605737v2