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Lie Groups and Automorphic Forms (Ams/Ip Studies in Advanced Mathematics)
 
 
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Lie Groups and Automorphic Forms (Ams/Ip Studies in Advanced Mathematics) [Paperback]

Lizhen Ji (Author, Editor), Jian-Shu Li (Author, Editor), H. W. Xu (Author, Editor), and Shing-Tung Yau (Author, Editor)

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Book Description

August 31, 2006 082184198X 978-0821841983
Lie groups are fundamental objects in mathematics. They occur naturally in differential geometry, algebraic geometry, representation theory, number theory, and other areas. Closely related are arithmetic subgroups, locally symmetric spaces and the spectral theory of automorphic forms. This book consists of five chapters which give comprehensive introductions to Lie groups, Lie algebras, arithmetic groups and reduction theories, cohomology of arithmetic groups, and the Petersson and Kuznetsov trace formulas.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
parabolic rank, linear symmetric spaces, precise reduction theory, constructible derived category, real boundary components, subconvexity bounds, rational parabolic subgroups, weighted cohomology, link cohomology, derived sheaves, horospherical decomposition, nontrivial unipotent element, geodesic action, uniform moderate growth, rational boundary components, locally symmetric spaces, intersection cohomology, arithmetic groups, isotropic flags, algebraically closed ground field, locally symmetric varieties, arithmetic subgroup, ordinary topology, holomorphic cusp forms, inner type
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Annals of Math, Rankin-Selberg L-functions, Duke Math, New York, Pure Math, Academic Press, Lecture Notes, Advanced Mathematics Volume, Cambridge Tracts, Cambridge University Press, Graduate Texts
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