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https://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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| Fan_GAO_A0030805U_Thesis.pdf | 1.54 MB | Adobe PDF | OPEN | None | View/Download |
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