Jacobi group

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In mathematics, the Jacobi group, introduced by Eichler & Zagier (1985), [1] is the semidirect product of the symplectic group Sp2n(R) and the Heisenberg group R1+2n. [2] The concept is named after Carl Gustav Jacob Jacobi. Automorphic forms in the Jacobi group are called Jacobi forms. [1]

References

  1. 1 2 Eichler, Martin; Zagier, Don (1985), The theory of Jacobi forms, Progress in Mathematics, vol. 55, Boston, MA: Birkhäuser Boston, ISBN   978-0-8176-3180-2, MR   0781735
  2. ↑ Berndt, Rolf; Schmidt, Ralf (1998), Elements of the representation theory of the Jacobi group, Progress in Mathematics, vol. 163, Birkhäuser Verlag, ISBN   978-3-7643-5922-5, MR   1634977


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