Matching of Orbital Integrals on GL 4 and GSp 2 is popular PDF and ePub book, written by Yuval Zvi Flicker in 1999, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Matching of Orbital Integrals on GL 4 and GSp 2 can be Read Online from any device for your convenience.
Matching of Orbital Integrals on GL 4 and GSp 2 Book PDF Summary
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.
Detail Book of Matching of Orbital Integrals on GL 4 and GSp 2 PDF
- Author : Yuval Zvi Flicker
- Release : 01 October 1999
- Publisher : American Mathematical Soc.
- ISBN : 9780821809594
- Genre : Mathematics
- Total Page : 127 pages
- Language : English
- PDF File Size : 8,6 Mb
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