Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/113286
Title: The Gindikin-Karpelevich Formula and Constant Terms of Eisenstein Series for Brylinski-Deligne Extensions
Authors: GAO FAN
Keywords: Gindikin-Karpelevich formula, Brylinski-Deligne extensions, Eisenstein series, distinguished characters, L-groups
Issue Date: 10-Jul-2014
Citation: GAO FAN (2014-07-10). The Gindikin-Karpelevich Formula and Constant Terms of Eisenstein Series for Brylinski-Deligne Extensions. ScholarBank@NUS Repository.
Abstract: In this dissertation the author firstly studies the L-group constructed by M. Weissman for Brylinski-Deligne (BD) extensions, including the splitting properties. Secondly, a refined Gindikin-Karpelevich formula is obtained and interpreted on the L-group side as Langlands-Shahidi type L-functions, based on the previous study of the L-group. In the end, the residual spectrum of some semisimple rank-one BD covers are determined and open problems for further investigation are discussed.
URI: http://scholarbank.nus.edu.sg/handle/10635/113286
Appears in Collections:Ph.D Theses (Open)

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