This specific ISBN edition is currently not available.View all copies of this ISBN edition:
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 $H\backslash G/K$---where H is a subgroup containing the centralizer---plays a key role.
"synopsis" may belong to another edition of this title.
Book Description Condition: Very Good. Former Library book. Great condition for a used book! Minimal wear. Seller Inventory # GRP109507329
Book Description Amer Mathematical Society, 1999. Condition: Good. A+ Customer service! Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. Seller Inventory # 0821809598-2-4
Book Description Amer Mathematical Society, 1999. Paperback. Condition: Used: Good. Seller Inventory # SONG0821809598