Lie groups and automorphic forms : proceedings of the 2003 summer program Zhejiang University Center of Mathematical Sciences Hangzhou, China
著者
書誌事項
Lie groups and automorphic forms : proceedings of the 2003 summer program Zhejiang University Center of Mathematical Sciences Hangzhou, China
（AMS/IP studies in advanced mathematics, v. 37）
American Mathematical Society , International Press, c2006
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注記
"This book consists of excerpted notes from the lecture series of the 2003 Summer Program, together with two sets of Professor Borel's lecture notes ..."--Pref
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Lie groups and linear algebraic groups I. Complex and real groups by A. Borel Introduction to the cohomology of arithmetic groups by A. Borel Lectures on locally symmetric spaces and arithmetic group sby L. Ji Petersson and Kuznetsov trace formulas by J. Liu and Y. Ye On the cohomology of locally symmetric spaces and of their compactifications by L. Saper.
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