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.
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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- ID: 9780821841983
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