| 書目名稱 | Geometry of Lie Groups | | 編輯 | Boris Rosenfeld | | 視頻video | http://file.papertrans.cn/384/383814/383814.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 描述 | 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. Numer | | 出版日期 | Book 1997 | | 關(guān)鍵詞 | Grad; algebra; associative algebra; finite group; lie group | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-5325-7 | | isbn_softcover | 978-1-4419-4769-7 | | isbn_ebook | 978-1-4757-5325-7 | | copyright | Springer Science+Business Media Dordrecht 1997 |
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