Lifting from \tilde{SL}_2 to GSpin(1,4)
Author
Pitale, Ameya
Year
2006
Advisor
Rallis, Steven
Abstract
In this thesis we construct liftings of automorphic forms from the metaplectic two-fold cover of SL_2 to GSpin(1,4) using the Maass Converse Theorem. In order to prove the non-vanishing of the lift we derive Waldspurger's formula for Fourier coefficients of half integer weight Maass forms. We analyze the automorphic representation of the adelic spin group obtained from the lift and show that it is CAP to the Saito-Kurokawa lift from \tilde{SL}_2 to GSp_4(A).
Thesis
Pitale, Ameya .pdf
Pitale, Ameya
Year
2006
Advisor
Rallis, Steven
Abstract
In this thesis we construct liftings of automorphic forms from the metaplectic two-fold cover of SL_2 to GSpin(1,4) using the Maass Converse Theorem. In order to prove the non-vanishing of the lift we derive Waldspurger's formula for Fourier coefficients of half integer weight Maass forms. We analyze the automorphic representation of the adelic spin group obtained from the lift and show that it is CAP to the Saito-Kurokawa lift from \tilde{SL}_2 to GSp_4(A).
Thesis
Pitale, Ameya .pdf