Groups from class 2 algebras and the Weil character
  We investigate the behaviour of the Weil character of the symplectic group on restriction to subgroups arising from commutative nilpotent algebras of class 2. We give explicit descriptions of the decomposition of the Weil character when restricted to the unipotent radical of the stabilizer of a maximal totally isotropic subspace and to its centralizer. 
Christakis A. Pallikaros and Harold N. Ward
math.GR