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Potential Theory and Geometry on Lie Groups
By:N. Th. Varopoulos
Published on 2020-03-31 by Cambridge University Press

This book provides a complete and reasonably self-contained account of a new classification of connected Lie groups into two classes. The first part describes the use of tools from potential theory to establish the classification and to show that the analytic and algebraic approaches to the classification are equivalent. Part II covers geometric theory of the same classification and a proof that it is equivalent to the algebraic approach. Part III is a new approach to the geometric classification that requires more advanced geometric technology, namely homotopy, homology and the theory of currents. Using these methods, a more direct, but also more sophisticated, approach to the equivalence of the geometric and algebraic classification is made. Background material is introduced gradually to familiarise readers with ideas from areas such as Lie groups, differential topology and probability, in particular, random walks on groups. Numerous open problems inspire students to explore further.

This Book was ranked at 24 by Google Books for keyword Geometry.

Book ID of Potential Theory and Geometry on Lie Groups's Books is n6-ZwgEACAAJ, Book which was written byN. Th. Varopouloshave ETAG "5PdZxPG9A2o"

Book which was published by Cambridge University Press since 2020-03-31 have ISBNs, ISBN 13 Code is 9781107036499 and ISBN 10 Code is 1107036496

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Book which have "611 Pages" is Printed at BOOK under CategoryMathematics

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