Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/135863
 Title: GSP(4)-PERIOD PROBLEMS OVER A QUADRATIC FIELD EXTENSION Authors: LU HENGFEI Keywords: periods, theta lift, automorphic form, p-adic group, inner form, Prasad's conjecture Issue Date: 4-Jan-2017 Citation: LU HENGFEI (2017-01-04). GSP(4)-PERIOD PROBLEMS OVER A QUADRATIC FIELD EXTENSION. ScholarBank@NUS Repository. Abstract: This thesis focuses on the distinction problems for G(E)/G(F), where G=GL(2) or GSp(4) and E is a quadratic field extension over a number field or a p-adic local field F. We use the theta lift to compute the dimension of G(F)-invariant distributions on a smooth irreducible admissible representation \pi of G(E) when F is a local field. We also have a global result for G(E)/G(F) with the help of the regularised Siegel-Weil formula. URI: http://scholarbank.nus.edu.sg/handle/10635/135863 Appears in Collections: Ph.D Theses (Open)

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