title: Jacobi group
text: # Jacobi group
  
  In mathematics, the Jacobi group, introduced by Eichler & Zagier (1985), is the semidirect product of the symplectic group $Sp_{2n}(R)$ and the Heisenberg group $R^{1+2n}.$ The concept is named after Carl Gustav Jacob Jacobi. Automorphic forms on the Jacobi group are called Jacobi forms.
  
  