Geometry of Lie Groups

Geometry of Lie Groups
Author: B. Rosenfeld
Publisher: Springer Science & Business Media
Total Pages: 414
Release: 2013-03-09
Genre: Mathematics
ISBN: 147575325X

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This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995). My first books on Non-Euclidean Geometries and Geometry of Lie groups were written in Russian and published in Moscow: Non-Euclidean Geometries (1955) [Ro1] , Multidimensional Spaces (1966) [Ro2] , and Non-Euclidean Spaces (1969) [Ro3]. In [Ro1] I considered non-Euclidean geometries in the broad sense, as geometry of simple Lie groups, since classical non-Euclidean geometries, hyperbolic and elliptic, are geometries of simple Lie groups of classes Bn and D , and geometries of complex n and quaternionic Hermitian elliptic and hyperbolic spaces are geometries of simple Lie groups of classes An and en. [Ro1] contains an exposition of the geometry of classical real non-Euclidean spaces and their interpretations as hyperspheres with identified antipodal points in Euclidean or pseudo-Euclidean spaces, and in projective and conformal spaces. Numerous interpretations of various spaces different from our usual space allow us, like stereoscopic vision, to see many traits of these spaces absent in the usual space.


Geometry of Lie Groups
Language: en
Pages: 414
Authors: B. Rosenfeld
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947-
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Language: en
Pages: 324
Authors: William M. Kantor
Categories: Mathematics
Type: BOOK - Published: 1995-01-12 - Publisher: Cambridge University Press

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Silk Hope, NC is a buoyant and moving parable in which two good women find, among the hidden, forgotten virtues of the past, a sustenance to carry them into the
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
Lie Groups, Physics, and Geometry
Language: en
Pages: 5
Authors: Robert Gilmore
Categories: Science
Type: BOOK - Published: 2008-01-17 - Publisher: Cambridge University Press

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Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and
Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
Language: en
Pages: 218
Authors: D.H. Sattinger
Categories: Mathematics
Type: BOOK - Published: 2013-11-11 - Publisher: Springer Science & Business Media

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This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is writt