Name: Potential Theory and Geometry on lie Groups: 38 (New Mathematical Monographs, Series Number 38) (en Inglés)
SKU: 53039931
Price: 743180.00 COP
Availability: InStock
Author: Varopoulos, N. Th
ISBN: 9781107036499

portada Potential Theory and Geometry on lie Groups: 38 (New Mathematical Monographs, Series Number 38) (en Inglés)

Potential Theory and Geometry on lie Groups: 38 (New Mathematical Monographs, Series Number 38) (en Inglés)

Formato

Libro Físico

Autor

N. Th Varopoulos

Editorial

Cambridge University Press

Idioma

Inglés

Encuadernación

Tapa Dura

Dimensiones

22.9x15.2x3.8 cm

Peso

1.08 kg.

ISBN13

9781107036499

Categorías

Álgebra
Cálculo y análisis matemático

Potential Theory and Geometry on lie Groups: 38 (New Mathematical Monographs, Series Number 38) (en Inglés)

N. Th Varopoulos (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Potential Theory and Geometry on lie Groups: 38 (New Mathematical Monographs, Series Number 38) (en Inglés)"

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.