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Doubling Integrals for Brylinski-Deligne Extensions of Classical Groups
发布时间：2020年08月27日
浏览次数：8550
发布者: He Liu
In the 1980s, Piatetski-Shapiro and Rallis discovered a family of Rankin-Selberg integrals for the classical groups that did not rely on Whittaker models. This is the so-called doubling method. It grew out of Rallis' work on the inner products of theta lifts -- the Rallis inner product formula.
Recently, a family of global integrals that represent the tensor product L-functions for classical groups (joint with Friedberg, Ginzburg, and Kaplan) and the tensor product L-functions for covers of symplectic groups (Kaplan) was discovered. These can be viewed as generalizations of the doubling method. In this talk, we explain how to develop the doubling integrals for Brylinski-Deligne extensions of all connected classical groups. This gives a family of Eulerian global integrals for this class of non-linear extensions. 延伸阅读
