Combinatorics of finite abelian groups and Weil representations
Combinatorics of finite abelian groups and Weil representations
The Weil representation of the symplectic group associated to a finite abelian group of odd order is shown to have a multiplicity-free decomposition.When the abelian group is p-primary, the irreducible representations occurring in the Weil representation are parametrized by a partially ordered set which is independent of p.As p varies, …