Matching Of Orbital Integrals On Gl4 And Gsp2
Download Matching Of Orbital Integrals On Gl4 And Gsp2 full books in PDF, epub, and Kindle. Read online free Matching Of Orbital Integrals On Gl4 And Gsp2 ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Matching of Orbital Integrals on $GL(4)$ and $GSp(2)$
Author | : Yuval Zvi Flicker |
Publisher | : American Mathematical Soc. |
Total Pages | : 127 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821809598 |
Download Matching of Orbital Integrals on $GL(4)$ and $GSp(2)$ Book in PDF, Epub and Kindle
The trace formula is the most powerful tool currently available to establish liftings of automorphic forms, as predicted by Langlands principle of functionality. The geometric part of the trace formula consists of orbital integrals, and the lifting is based on the fundamental lemma. The latter is an identity of the relevant orbital integrals for the unit elements of the Hecke algebras. This volume concerns a proof of the fundamental lemma in the classically most interesting case of Siegel modular forms, namely the symplectic group Sp(2). These orbital integrals are compared with those on GL(4), twisted by the transpose inverse involution. The technique of proof is elementary. Compact elements are decomposed into their absolutely semi-simple and topologically unipotent parts also in the twisted case; a double coset decomposition of the form H\ G/K--where H is a subgroup containing the centralizer--plays a key role.
Matching of Orbital Integrals on $GL(4)$ and $GSp(2)$ Related Books
Pages: 127
Pages: 112
Pages: 109
Pages: 146
Pages: 101