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Lifting from SL(2) to GSpin(1,4)

Pitale, Ameya
http://rave.ohiolink.edu/etdc/view?acc_num=osu1147463757

Abstract Details

2006, Doctor of Philosophy, Ohio State University, Mathematics.
We construct liftings of cuspidal automorphic forms from the metaplectic group 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 SL(2) to GSp4(A).
Steve Rallis (Advisor)

Recommended Citations

Citations

  • Pitale, A. (2006). Lifting from SL(2) to GSpin(1,4) [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1147463757

    APA Style (7th edition)

  • Pitale, Ameya. Lifting from SL(2) to GSpin(1,4). 2006. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1147463757.

    MLA Style (8th edition)

  • Pitale, Ameya. "Lifting from SL(2) to GSpin(1,4)." Doctoral dissertation, Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1147463757

    Chicago Manual of Style (17th edition)

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© 2006, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.