Matching of Orbital Integrals on Gl(4) and Gsp(2 (Memoirs of the American Mathematical Society) by Yuval Z. Flicker (PDF)

Description

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 $Hbackslash G/K$—where H is a subgroup containing the centralizer—plays a key role.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

⭐

Keywords

Free Download Matching of Orbital Integrals on Gl(4) and Gsp(2 (Memoirs of the American Mathematical Society) in PDF format
Matching of Orbital Integrals on Gl(4) and Gsp(2 (Memoirs of the American Mathematical Society) PDF Free Download
Download Matching of Orbital Integrals on Gl(4) and Gsp(2 (Memoirs of the American Mathematical Society) 1999 PDF Free
Matching of Orbital Integrals on Gl(4) and Gsp(2 (Memoirs of the American Mathematical Society) 1999 PDF Free Download
Download Matching of Orbital Integrals on Gl(4) and Gsp(2 (Memoirs of the American Mathematical Society) PDF
Free Download Ebook Matching of Orbital Integrals on Gl(4) and Gsp(2 (Memoirs of the American Mathematical Society)