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Groups and Geometric Analysis
Language: en
Pages: 693
Authors: Sigurdur Helgason
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

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This volume, the second of Helgason's impressive three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to group-theore
Differential Geometry, Lie Groups, and Symmetric Spaces
Language: en
Pages: 682
Authors: Sigurdur Helgason
Categories: Mathematics
Type: BOOK - Published: 2001-06-12 - Publisher: American Mathematical Soc.

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A great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and coveri
From Groups to Geometry and Back
Language: en
Pages: 442
Authors: Vaughn Climenhaga
Categories: Mathematics
Type: BOOK - Published: 2017-04-07 - Publisher: American Mathematical Soc.

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Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract gro
Groups and Geometric Analysis
Language: en
Pages: 667
Authors: Sigurdur Helgason
Categories: Mathematics
Type: BOOK - Published: 2022-03-17 - Publisher: American Mathematical Society

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Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book
Geometric Analysis on Symmetric Spaces
Language: en
Pages: 657
Authors: Sigurdur Helgason
Categories: Mathematics
Type: BOOK - Published: 2024-09-27 - Publisher: American Mathematical Society

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This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie gr