Algebraic groups and lie groups with few factors
Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few...
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oai:112.137.131.14:VNU_123-244462020-07-07T14:16:13Z Algebraic groups and lie groups with few factors Plaumann, Peter ; Strambach, Karl Falcone, Giovanni Di Bartolo, Alfonso. Mathematics Statistics ; Linear algebraic groups ; Lie groups ; Group theory. 516.35 Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined. 2017-04-05T03:39:58Z 2017-04-05T03:39:58Z 2008 Book http://repository.vnu.edu.vn/handle/VNU_123/24446 en 223 p. application/pdf Springer |
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Mathematics Statistics ; Linear algebraic groups ; Lie groups ; Group theory. 516.35 |
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Mathematics Statistics ; Linear algebraic groups ; Lie groups ; Group theory. 516.35 Plaumann, Peter ; Strambach, Karl Falcone, Giovanni Di Bartolo, Alfonso. Algebraic groups and lie groups with few factors |
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Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined. |
format |
Book |
author |
Plaumann, Peter ; Strambach, Karl Falcone, Giovanni Di Bartolo, Alfonso. |
author_facet |
Plaumann, Peter ; Strambach, Karl Falcone, Giovanni Di Bartolo, Alfonso. |
author_sort |
Plaumann, Peter ; Strambach, Karl |
title |
Algebraic groups and lie groups with few factors |
title_short |
Algebraic groups and lie groups with few factors |
title_full |
Algebraic groups and lie groups with few factors |
title_fullStr |
Algebraic groups and lie groups with few factors |
title_full_unstemmed |
Algebraic groups and lie groups with few factors |
title_sort |
algebraic groups and lie groups with few factors |
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Springer |
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2017 |
url |
http://repository.vnu.edu.vn/handle/VNU_123/24446 |
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1680965842265702400 |