Geometry of Lie Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1997
|
| Schriftenreihe: | Mathematics and Its Applications
393 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XVIII, 398 p) |
| ISBN: | 9781475753257 9781441947697 |
| DOI: | 10.1007/978-1-4757-5325-7 |
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Datensatz im Suchindex
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| author | Rosenfeld, Boris |
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| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-5325-7 |
| format | Electronic eBook |
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| id | DE-604.BV042421654 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475753257 9781441947697 |
| language | English |
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| physical | 1 Online-Ressource (XVIII, 398 p) |
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| publishDate | 1997 |
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| series2 | Mathematics and Its Applications |
| spelling | Rosenfeld, Boris Verfasser aut Geometry of Lie Groups by Boris Rosenfeld Boston, MA Springer US 1997 1 Online-Ressource (XVIII, 398 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 393 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 Mathematics Topological Groups Geometry Topological Groups, Lie Groups Mathematik Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-5325-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rosenfeld, Boris Geometry of Lie Groups Mathematics Topological Groups Geometry Topological Groups, Lie Groups Mathematik Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4035695-4 |
| title | Geometry of Lie Groups |
| title_auth | Geometry of Lie Groups |
| title_exact_search | Geometry of Lie Groups |
| title_full | Geometry of Lie Groups by Boris Rosenfeld |
| title_fullStr | Geometry of Lie Groups by Boris Rosenfeld |
| title_full_unstemmed | Geometry of Lie Groups by Boris Rosenfeld |
| title_short | Geometry of Lie Groups |
| title_sort | geometry of lie groups |
| topic | Mathematics Topological Groups Geometry Topological Groups, Lie Groups Mathematik Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Mathematics Topological Groups Geometry Topological Groups, Lie Groups Mathematik Lie-Gruppe |
| url | https://doi.org/10.1007/978-1-4757-5325-7 |
| work_keys_str_mv | AT rosenfeldboris geometryofliegroups |