Name: compactifications of symmetric and locally symmetric spaces (en Inglés)
Price: 232320.00 CLP
Availability: InStock
Author: borel,ji
ISBN: 9780817632472

portada compactifications of symmetric and locally symmetric spaces (en Inglés)

Formato

Libro Físico

Editorial

springer publishing map

Autor

borel,ji

Idioma

Inglés

N° páginas

479

ISBN

0817632476

ISBN13

9780817632472

Categorías

Geometría diferencial y riemanniana

compactifications of symmetric and locally symmetric spaces (en Inglés)

Borel,Ji (Autor) · springer publishing map · Libro Físico

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Reseña del libro "compactifications of symmetric and locally symmetric spaces (en Inglés)"

noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). in most applications it is necessary to form an appropriate compactification of the space. the literature dealing with such compactifications is vast. the main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. the book is divided into three parts. part i studies compactifications of riemannian symmetric spaces and their arithmetic quotients. part ii is a study of compact smooth manifolds. part iii studies the compactification of locally symmetric spaces. familiarity with the theory of semisimple lie groups is assumed, as is familiarity with algebraic groups defined over the rational numbers in later parts of the book, although most of the pertinent material is recalled as presented. otherwise, the book is a self-contained reference aimed at graduate students and research mathematicians interested in the applications of lie theory and representation theory to diverse fields of mathematics.